Solve 6x+7/7-3=5x-6/8-1

$$\frac { 6 x + 7 } { 7 } - 3 = \frac { 5 x - 6 } { 8 } - 1$$

Solve for x

$$x = \frac{14}{13} = 1\frac{1}{13} \approx 1.076923077$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 56, the least common multiple of 7,8.

$$8\left(6x+7\right)-168=7\left(5x-6\right)-56$$

Use the distributive property to multiply 8 by 6x+7.

$$48x+56-168=7\left(5x-6\right)-56$$

Subtract 168 from 56 to get -112.

$$48x-112=7\left(5x-6\right)-56$$

Use the distributive property to multiply 7 by 5x-6.

$$48x-112=35x-42-56$$

Subtract 56 from -42 to get -98.

$$48x-112=35x-98$$

Subtract 35x from both sides.

$$48x-112-35x=-98$$

Combine 48x and -35x to get 13x.

$$13x-112=-98$$

Add 112 to both sides.

$$13x=-98+112$$

Add -98 and 112 to get 14.

$$13x=14$$

Divide both sides by 13.

$$x=\frac{14}{13}$$