Solve -4(-x-10)=-10(10x+10)

$$- 4 ( - x - 10 ) = - 10 ( 10 x + 10 )$$

Solve for x

$$x = -\frac{35}{26} = -1\frac{9}{26} \approx -1.346153846$$

Steps for Solving Linear Equation

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

$$-4\left(-x\right)+40=-10\left(10x+10\right)$$

Multiply -4 and -1 to get 4.

$$4x+40=-10\left(10x+10\right)$$

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

$$4x+40=-100x-100$$

Add 100x to both sides.

$$4x+40+100x=-100$$

Combine 4x and 100x to get 104x.

$$104x+40=-100$$

Subtract 40 from both sides.

$$104x=-100-40$$

Subtract 40 from -100 to get -140.

$$104x=-140$$

Divide both sides by 104.

$$x=\frac{-140}{104}$$

Reduce the fraction \frac{-140}{104} to lowest terms by extracting and canceling out 4.

$$x=-\frac{35}{26}$$