If (1)/(2)+4x=-x+2, what is the value of x ? Choose 1 answer: (A) x=(3)/(10) (B) x=(1)/(2) (c) x=(5)/(6) (D) x=(15)/(2)

Write down the equation: Write down the equation. (1/2) + 4x = -x + 2 We need to solve for x.Combine like terms: Combine like terms by moving all x terms to one side of the equation. To do this, add x to both sides of the equation to get all the x terms on one side. (1/2) + 4x + x = -x + 2 + x This simplifies to: (1/2) + 5x = 2Isolate the x term: Isolate the x term by moving the constant term to the other side. To do this, subtract (1/2) from both sides of the equation. (1/2) + 5x - (1/2) = 2 - (1/2) This simplifies to: 5x = 2 - (1/2)Calculate the right side: Calculate the right side of the equation. 2 - (1/2) is equal to (4/2) - (1/2), which simplifies to (3/2). So the equation now is: 5x = (3/2)Solve for x: Solve for x by dividing both sides of the equation by 5. x = (3/2) / 5 x = (3/2) * (1/5) x = 3/10

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If
(1)/(2)+4x=-x+2, what is the value of
x ?
Choose 1 answer:
(A)
x=(3)/(10)
(B)
x=(1)/(2)
(c)
x=(5)/(6)
(D)
x=(15)/(2)

If $\frac{1}{2}+4x=-x+2$ , what is the value of $x$ ? $\newline$ Choose $1$ answer: $\newline$ (A) $x=\frac{3}{10}$ $\newline$ (B) $x=\frac{1}{2}$ $\newline$ (C) $x=\frac{5}{6}$ $\newline$ (D) $x=\frac{15}{2}$

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Math Problems

Algebra 1

Compare linear and exponential growth

Full solution

Q. If

\frac{1}{2}+4x=-x+2

, what is the value of

x

\newline

Choose

1

answer:

\newline

(A)

x=\frac{3}{10}

\newline

(B)

x=\frac{1}{2}

\newline

(C)

x=\frac{5}{6}

\newline

(D)

x=\frac{15}{2}

Write down the equation: Write down the equation. $\newline$ $(\frac{1}{2}) + 4x = -x + 2$ $\newline$ We need to solve for $x$ .
Combine like terms: Combine like terms by moving all $x$ terms to one side of the equation. $\newline$ To do this, add $x$ to both sides of the equation to get all the $x$ terms on one side. $\newline$ $(\frac{1}{2}) + 4x + x = -x + 2 + x$ $\newline$ This simplifies to: $\newline$ $(\frac{1}{2}) + 5x = 2$
Isolate the x term: Isolate the x term by moving the constant term to the other side. $\newline$ To do this, subtract $(1/2)$ from both sides of the equation. $\newline$ $(1/2) + 5x - (1/2) = 2 - (1/2)$ $\newline$ This simplifies to: $\newline$ $5x = 2 - (1/2)$
Calculate the right side: Calculate the right side of the equation. $\newline$ $2 - \left(\frac{1}{2}\right)$ is equal to $\left(\frac{4}{2}\right) - \left(\frac{1}{2}\right)$ , which simplifies to $\frac{3}{2}$ . $\newline$ So the equation now is: $\newline$ $5x = \frac{3}{2}$
Solve for x: Solve for x by dividing both sides of the equation by $5$ . $\newline$ $x = \left(\frac{3}{2}\right) / 5$ $\newline$ $x = \left(\frac{3}{2}\right) \cdot \left(\frac{1}{5}\right)$ $\newline$ $x = \frac{3}{10}$