Solve -11(x+26)-27(x+26)=15x-15x

$$- 11 ( x + 26 ) - 27 ( x + 26 ) = 15 x - 15 x$$

Solve for x

$$x=-26$$

Steps for Solving Linear Equation

Use the distributive property to multiply -11 by x+26.

$$-11x-286-27\left(x+26\right)=15x-15x$$

Use the distributive property to multiply -27 by x+26.

$$-11x-286-27x-702=15x-15x$$

Combine -11x and -27x to get -38x.

$$-38x-286-702=15x-15x$$

Subtract 702 from -286 to get -988.

$$-38x-988=15x-15x$$

Combine 15x and -15x to get 0.

$$-38x-988=0$$

Add 988 to both sides. Anything plus zero gives itself.

$$-38x=988$$

Divide both sides by -38.

$$x=\frac{988}{-38}$$

Divide 988 by -38 to get -26.

$$x=-26$$