Solve 5(3x-2)-6(8x-13)-13x=16(8-3x)-62

$$5(3x-2)-6(8x-13)-13x=16(8-3x)-62$$

Solve for x

$$x=-1$$

Steps for Solving Linear Equation

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

$$15x-10-6\left(8x-13\right)-13x=16\left(8-3x\right)-62$$

Use the distributive property to multiply -6 by 8x-13.

$$15x-10-48x+78-13x=16\left(8-3x\right)-62$$

Combine 15x and -48x to get -33x.

$$-33x-10+78-13x=16\left(8-3x\right)-62$$

Add -10 and 78 to get 68.

$$-33x+68-13x=16\left(8-3x\right)-62$$

Combine -33x and -13x to get -46x.

$$-46x+68=16\left(8-3x\right)-62$$

Use the distributive property to multiply 16 by 8-3x.

$$-46x+68=128-48x-62$$

Subtract 62 from 128 to get 66.

$$-46x+68=66-48x$$

Add 48x to both sides.

$$-46x+68+48x=66$$

Combine -46x and 48x to get 2x.

$$2x+68=66$$

Subtract 68 from both sides.

$$2x=66-68$$

Subtract 68 from 66 to get -2.

$$2x=-2$$

Divide both sides by 2.

$$x=\frac{-2}{2}$$

Divide -2 by 2 to get -1.

$$x=-1$$