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

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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 $x$ . $x = \frac{13}{5}$

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