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

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

Step 1

Simplify $- 4 (6 x - 7)$ .

Rewrite.

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

Simplify by adding zeros.

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

Apply the distributive property.

$- 4 (6 x) - 4 \cdot - 7 = 4 x$

Multiply.

Multiply $6$ by $- 4$ .

$- 24 x - 4 \cdot - 7 = 4 x$

Multiply $- 4$ by $- 7$ .

$- 24 x + 28 = 4 x$

Step 2

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

Subtract $4 x$ from both sides of the equation.

$- 24 x + 28 - 4 x = 0$

Subtract $4 x$ from $- 24 x$ .

$- 28 x + 28 = 0$

Step 3

Subtract $28$ from both sides of the equation.

$- 28 x = - 28$

Step 4

Divide each term in $- 28 x = - 28$ by $- 28$ and simplify.

Divide each term in $- 28 x = - 28$ by $- 28$ .

$\frac{- 28 x}{- 28} = \frac{- 28}{- 28}$

Simplify the left side.

Cancel the common factor of $- 28$ .

Cancel the common factor.

$\frac{- 28 x}{- 28} = \frac{- 28}{- 28}$

Divide $x$ by $1$ .

$x = \frac{- 28}{- 28}$

Simplify the right side.

Divide $- 28$ by $- 28$ .

$x = 1$