Solve -7(-2x+3)-4x=6(x-4)-7

$$-7(-2x+3)-4x=6(x-4)-7$$

Solve for x

$$x = -\frac{5}{2} = -2\frac{1}{2} = -2.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by -2x+3.

$$14x-21-4x=6\left(x-4\right)-7$$

Combine 14x and -4x to get 10x.

$$10x-21=6\left(x-4\right)-7$$

Use the distributive property to multiply 6 by x-4.

$$10x-21=6x-24-7$$

Subtract 7 from -24 to get -31.

$$10x-21=6x-31$$

Subtract 6x from both sides.

$$10x-21-6x=-31$$

Combine 10x and -6x to get 4x.

$$4x-21=-31$$

Add 21 to both sides.

$$4x=-31+21$$

Add -31 and 21 to get -10.

$$4x=-10$$

Divide both sides by 4.

$$x=\frac{-10}{4}$$

Reduce the fraction \frac{-10}{4} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{2}$$