Solve for x 7+x=1/2*(4x-2)

$7 + x = \frac{1}{2} \cdot (4 x - 2)$

Step 1

Simplify $\frac{1}{2} \cdot (4 x - 2)$ .

Rewrite.

$7 + x = 0 + 0 + \frac{1}{2} \cdot (4 x - 2)$

Simplify by adding zeros.

$7 + x = \frac{1}{2} \cdot (4 x - 2)$

Apply the distributive property.

$7 + x = \frac{1}{2} (4 x) + \frac{1}{2} \cdot - 2$

Cancel the common factor of $2$ .

Factor $2$ out of $4 x$ .

$7 + x = \frac{1}{2} (2 (2 x)) + \frac{1}{2} \cdot - 2$

Cancel the common factor.

$7 + x = \frac{1}{2} (2 (2 x)) + \frac{1}{2} \cdot - 2$

Rewrite the expression.

$7 + x = 2 x + \frac{1}{2} \cdot - 2$

Cancel the common factor of $2$ .

Factor $2$ out of $- 2$ .

$7 + x = 2 x + \frac{1}{2} \cdot (2 (- 1))$

Cancel the common factor.

$7 + x = 2 x + \frac{1}{2} \cdot (2 \cdot - 1)$

Rewrite the expression.

$7 + x = 2 x - 1$

Step 2

Move all terms containing $x$ to the left side of the equation.

Subtract $2 x$ from both sides of the equation.

$7 + x - 2 x = - 1$

Subtract $2 x$ from $x$ .

$7 - x = - 1$

Step 3

Move all terms not containing $x$ to the right side of the equation.

Subtract $7$ from both sides of the equation.

$- x = - 1 - 7$

Subtract $7$ from $- 1$ .

$- x = - 8$

Step 4

Divide each term in $- x = - 8$ by $- 1$ and simplify.

Divide each term in $- x = - 8$ by $- 1$ .

$\frac{- x}{- 1} = \frac{- 8}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{- 8}{- 1}$

Divide $x$ by $1$ .

$x = \frac{- 8}{- 1}$

Simplify the right side.

Divide $- 8$ by $- 1$ .

$x = 8$

Solve for x 7+x=1/2*(4x-2)

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