Solve 5x(x-1)=5x^2-(8-3x)

$$5 x ( x - 1 ) = 5 x ^ { 2 } - ( 8 - 3 x )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5x by x-1.

$$5x^{2}-5x=5x^{2}-\left(8-3x\right)$$

To find the opposite of 8-3x, find the opposite of each term.

$$5x^{2}-5x=5x^{2}-8+3x$$

Subtract 5x^{2} from both sides.

$$5x^{2}-5x-5x^{2}=-8+3x$$

Combine 5x^{2} and -5x^{2} to get 0.

$$-5x=-8+3x$$

Subtract 3x from both sides.

$$-5x-3x=-8$$

Combine -5x and -3x to get -8x.

$$-8x=-8$$

Divide both sides by -8.

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

Divide -8 by -8 to get 1.

$$x=1$$