Solve for x 4(5-7x)=6-12x

$4 (5 - 7 x) = 6 - 12 x$

Step 1

Simplify $4 (5 - 7 x)$ .

Rewrite.

$0 + 0 + 4 (5 - 7 x) = 6 - 12 x$

Simplify by adding zeros.

$4 (5 - 7 x) = 6 - 12 x$

Apply the distributive property.

$4 \cdot 5 + 4 (- 7 x) = 6 - 12 x$

Multiply.

Multiply $4$ by $5$ .

$20 + 4 (- 7 x) = 6 - 12 x$

Multiply $- 7$ by $4$ .

$20 - 28 x = 6 - 12 x$

Step 2

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

Add $12 x$ to both sides of the equation.

$20 - 28 x + 12 x = 6$

Add $- 28 x$ and $12 x$ .

$20 - 16 x = 6$

Step 3

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

Subtract $20$ from both sides of the equation.

$- 16 x = 6 - 20$

Subtract $20$ from $6$ .

$- 16 x = - 14$

Step 4

Divide each term in $- 16 x = - 14$ by $- 16$ and simplify.

Divide each term in $- 16 x = - 14$ by $- 16$ .

$\frac{- 16 x}{- 16} = \frac{- 14}{- 16}$

Simplify the left side.

Cancel the common factor of $- 16$ .

Cancel the common factor.

$\frac{- 16 x}{- 16} = \frac{- 14}{- 16}$

Divide $x$ by $1$ .

$x = \frac{- 14}{- 16}$

Simplify the right side.

Cancel the common factor of $- 14$ and $- 16$ .

Factor $- 2$ out of $- 14$ .

$x = \frac{- 2 (7)}{- 16}$

Cancel the common factors.

Factor $- 2$ out of $- 16$ .

$x = \frac{- 2 \cdot 7}{- 2 \cdot 8}$

Cancel the common factor.

$x = \frac{- 2 \cdot 7}{- 2 \cdot 8}$

Rewrite the expression.

$x = \frac{7}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{8}$

Decimal Form:

$x = 0.875$

Solve for x 4(5-7x)=6-12x

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