Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the following equation for
x. Express your answer in the simplest form.

3+(3)/(2)(-10 x+6)=-(10 x+2)+1

Solve the following equation for $x$ . Express your answer in the simplest form. $\newline$ $3+\frac{3}{2}(-10 x+6)=-(10 x+2)+1$ $\newline$

View step-by-step help

View step-by-step help

Multiplication with rational exponents

Full solution

Q. Solve the following equation for

x

. Express your answer in the simplest form.

\newline

3+\frac{3}{2}(-10 x+6)=-(10 x+2)+1

\newline

Simplify equation by multiplying: Now, simplify the equation by multiplying. $3 - 15x + 9 = -10x - 2 + 1$
Combine like terms: Combine like terms on both sides. $\newline$ $12 - 15x = -10x - 1$
Add $15x$ to both sides: Add $15x$ to both sides to get all $x$ terms on one side. $\newline$ $12 = 5x - 1$
Isolate the x term: Add $1$ to both sides to isolate the x term. $\newline$ $13 = 5x$
Divide by $5$ to solve: Divide both sides by $5$ to solve for $x$ . $x = \frac{13}{5}$

More problems from Multiplication with rational exponents

Question

\newline

81^{\frac{1}{2}}

\newline

Posted 1 year ago

Question

\newline

(-32)^{1/5}

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{4}{3}}}{w^{\frac{7}{3}}}

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 10 months ago

Question

Simplify. Assume all variables are positive.

\newline

(2r^{\frac{1}{3}})^8

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 10 months ago

Question

Simplify. Assume all variables are positive.

\newline

v^{\frac{7}{4}} \cdot v^{\frac{9}{4}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 10 months ago

Question

\newline

1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}

\newline

Posted 10 months ago

Question

\newline

32^{(-1/5)}

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{w^{\frac{3}{2}}}{w^{\frac{5}{2}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

(27x)^{\frac{2}{3}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

Posted 1 year ago

Question

Simplify. Assume all variables are positive.

\newline

\frac{x^{\frac{1}{4}}}{x^{\frac{11}{4}}}

\newline

\newline

Write your answer in the form

A

\frac{A}{B}

A

B

are constants or variable expressions that have no variables in common. All exponents in your answer should be positive.

\newline

\newline

Posted 1 year ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant