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

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

Solve for x

$$x=-2$$

Steps for Solving Linear Equation

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

$$2x-6+5x\left(x-1\right)=5x^{2}$$

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

$$2x-6+5x^{2}-5x=5x^{2}$$

Combine 2x and -5x to get -3x.

$$-3x-6+5x^{2}=5x^{2}$$

Subtract 5x^{2} from both sides.

$$-3x-6+5x^{2}-5x^{2}=0$$

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

$$-3x-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$-3x=6$$

Divide both sides by -3.

$$x=\frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$x=-2$$