Solve for x 5-(x+7)+4x=7(x-1)

$5 - (x + 7) + 4 x = 7 (x - 1)$

Simplify $5 - (x + 7) + 4 x$ .

Simplify each term.

Apply the distributive property.

$5 - x - 1 \cdot 7 + 4 x = 7 (x - 1)$

Multiply $- 1$ by $7$ .

$5 - x - 7 + 4 x = 7 (x - 1)$

Simplify by adding terms.

Subtract $7$ from $5$ .

$- x - 2 + 4 x = 7 (x - 1)$

Add $- x$ and $4 x$ .

$3 x - 2 = 7 (x - 1)$

Simplify $7 (x - 1)$ .

Apply the distributive property.

$3 x - 2 = 7 x + 7 \cdot - 1$

Multiply $7$ by $- 1$ .

$3 x - 2 = 7 x - 7$

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

Subtract $7 x$ from both sides of the equation.

$3 x - 2 - 7 x = - 7$

Subtract $7 x$ from $3 x$ .

$- 4 x - 2 = - 7$

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

Add $2$ to both sides of the equation.

$- 4 x = - 7 + 2$

Add $- 7$ and $2$ .

$- 4 x = - 5$

Divide each term in $- 4 x = - 5$ by $- 4$ and simplify.

Divide each term in $- 4 x = - 5$ by $- 4$ .

$\frac{- 4 x}{- 4} = \frac{- 5}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 x}{- 4} = \frac{- 5}{- 4}$

Divide $x$ by $1$ .

$x = \frac{- 5}{- 4}$

Simplify the right side.

Dividing two negative values results in a positive value.

$x = \frac{5}{4}$

The result can be shown in multiple forms.

Exact Form:

$x = \frac{5}{4}$

Decimal Form:

$x = 1.25$

Mixed Number Form:

$x = 1 \frac{1}{4}$

Solve for x 5-(x+7)+4x=7(x-1)

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