Solve x(2x-7)+4(2x-7)=2x^2-8x+1

$$x ( 2 x - 7 ) + 4 ( 2 x - 7 ) = 2 x ^ { 2 } - 8 x + 1$$

Solve for x

$$x = \frac{29}{9} = 3\frac{2}{9} \approx 3.222222222$$

Steps for Solving Linear Equation

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

$$2x^{2}-7x+4\left(2x-7\right)=2x^{2}-8x+1$$

Use the distributive property to multiply 4 by 2x-7.

$$2x^{2}-7x+8x-28=2x^{2}-8x+1$$

Combine -7x and 8x to get x.

$$2x^{2}+x-28=2x^{2}-8x+1$$

Subtract 2x^{2} from both sides.

$$2x^{2}+x-28-2x^{2}=-8x+1$$

Combine 2x^{2} and -2x^{2} to get 0.

$$x-28=-8x+1$$

Add 8x to both sides.

$$x-28+8x=1$$

Combine x and 8x to get 9x.

$$9x-28=1$$

Add 28 to both sides.

$$9x=1+28$$

Add 1 and 28 to get 29.

$$9x=29$$

Divide both sides by 9.

$$x=\frac{29}{9}$$