Solve 3(3(2x-5)-2(4x-1))+26=4(4(x+3)-3(x+2))+13

$$3(3(2x-5)-2(4x-1))+26=4(4(x+3)-3(x+2))+13$$

Solve for x

$$x=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 2x-5.

$$3\left(6x-15-2\left(4x-1\right)\right)+26=4\left(4\left(x+3\right)-3\left(x+2\right)\right)+13$$

Use the distributive property to multiply -2 by 4x-1.

$$3\left(6x-15-8x+2\right)+26=4\left(4\left(x+3\right)-3\left(x+2\right)\right)+13$$

Combine 6x and -8x to get -2x.

$$3\left(-2x-15+2\right)+26=4\left(4\left(x+3\right)-3\left(x+2\right)\right)+13$$

Add -15 and 2 to get -13.

$$3\left(-2x-13\right)+26=4\left(4\left(x+3\right)-3\left(x+2\right)\right)+13$$

Use the distributive property to multiply 3 by -2x-13.

$$-6x-39+26=4\left(4\left(x+3\right)-3\left(x+2\right)\right)+13$$

Add -39 and 26 to get -13.

$$-6x-13=4\left(4\left(x+3\right)-3\left(x+2\right)\right)+13$$

Use the distributive property to multiply 4 by x+3.

$$-6x-13=4\left(4x+12-3\left(x+2\right)\right)+13$$

Use the distributive property to multiply -3 by x+2.

$$-6x-13=4\left(4x+12-3x-6\right)+13$$

Combine 4x and -3x to get x.

$$-6x-13=4\left(x+12-6\right)+13$$

Subtract 6 from 12 to get 6.

$$-6x-13=4\left(x+6\right)+13$$

Use the distributive property to multiply 4 by x+6.

$$-6x-13=4x+24+13$$

Add 24 and 13 to get 37.

$$-6x-13=4x+37$$

Subtract 4x from both sides.

$$-6x-13-4x=37$$

Combine -6x and -4x to get -10x.

$$-10x-13=37$$

Add 13 to both sides.

$$-10x=37+13$$

Add 37 and 13 to get 50.

$$-10x=50$$

Divide both sides by -10.

$$x=\frac{50}{-10}$$

Divide 50 by -10 to get -5.

$$x=-5$$