Solve 4(x+10)-2(x-5)=0

$$4(x+10)-2(x-5)=0$$

Solve for x

$$x=-25$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+10.

$$4x+40-2\left(x-5\right)=0$$

Use the distributive property to multiply -2 by x-5.

$$4x+40-2x+10=0$$

Combine 4x and -2x to get 2x.

$$2x+40+10=0$$

Add 40 and 10 to get 50.

$$2x+50=0$$

Subtract 50 from both sides. Anything subtracted from zero gives its negation.

$$2x=-50$$

Divide both sides by 2.

$$x=\frac{-50}{2}$$

Divide -50 by 2 to get -25.

$$x=-25$$