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

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

Solve for x

$$x=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 2x-5.

$$8x-20+2x=-2\left(x+5\right)$$

Combine 8x and 2x to get 10x.

$$10x-20=-2\left(x+5\right)$$

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

$$10x-20=-2x-10$$

Add 2x to both sides.

$$10x-20+2x=-10$$

Combine 10x and 2x to get 12x.

$$12x-20=-10$$

Add 20 to both sides.

$$12x=-10+20$$

Add -10 and 20 to get 10.

$$12x=10$$

Divide both sides by 12.

$$x=\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$x=\frac{5}{6}$$