Solve 42x/6-35x/7-3x-2=-13

$$\frac { 42 x } { 6 } - \frac { 35 x } { 7 } - 3 x - 2 = - 13$$

Solve for x

$$x=11$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 42, the least common multiple of 6,7.

$$7\times 42x-6\times 35x-126x-84=-546$$

Multiply 7 and 42 to get 294.

$$294x-6\times 35x-126x-84=-546$$

Multiply -6 and 35 to get -210.

$$294x-210x-126x-84=-546$$

Combine 294x and -210x to get 84x.

$$84x-126x-84=-546$$

Combine 84x and -126x to get -42x.

$$-42x-84=-546$$

Add 84 to both sides.

$$-42x=-546+84$$

Add -546 and 84 to get -462.

$$-42x=-462$$

Divide both sides by -42.

$$x=\frac{-462}{-42}$$

Divide -462 by -42 to get 11.

$$x=11$$