Solve 3(5x-7)-2(9x-11)=4(8x-13)-17

$$3 ( 5 x - 7 ) - 2 ( 9 x - 11 ) = 4 ( 8 x - 13 ) - 17$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 5x-7.

$$15x-21-2\left(9x-11\right)=4\left(8x-13\right)-17$$

Use the distributive property to multiply -2 by 9x-11.

$$15x-21-18x+22=4\left(8x-13\right)-17$$

Combine 15x and -18x to get -3x.

$$-3x-21+22=4\left(8x-13\right)-17$$

Add -21 and 22 to get 1.

$$-3x+1=4\left(8x-13\right)-17$$

Use the distributive property to multiply 4 by 8x-13.

$$-3x+1=32x-52-17$$

Subtract 17 from -52 to get -69.

$$-3x+1=32x-69$$

Subtract 32x from both sides.

$$-3x+1-32x=-69$$

Combine -3x and -32x to get -35x.

$$-35x+1=-69$$

Subtract 1 from both sides.

$$-35x=-69-1$$

Subtract 1 from -69 to get -70.

$$-35x=-70$$

Divide both sides by -35.

$$x=\frac{-70}{-35}$$

Divide -70 by -35 to get 2.

$$x=2$$