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

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

Solve for x

$$x = \frac{11}{10} = 1\frac{1}{10} = 1.1$$

Steps for Solving Linear Equation

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

$$20x+8=5\left(10x-5\right)$$

Use the distributive property to multiply 5 by 10x-5.

$$20x+8=50x-25$$

Subtract 50x from both sides.

$$20x+8-50x=-25$$

Combine 20x and -50x to get -30x.

$$-30x+8=-25$$

Subtract 8 from both sides.

$$-30x=-25-8$$

Subtract 8 from -25 to get -33.

$$-30x=-33$$

Divide both sides by -30.

$$x=\frac{-33}{-30}$$

Reduce the fraction \frac{-33}{-30} to lowest terms by extracting and canceling out -3.

$$x=\frac{11}{10}$$