Solve 3x+7/4-7=4x-8/5+2

$$\frac { 3 x + 7 } { 4 } - 7 = \frac { 4 x - 8 } { 5 } + 2$$

Solve for x

$$x=-113$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5\left(3x+7\right)-140=4\left(4x-8\right)+40$$

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

$$15x+35-140=4\left(4x-8\right)+40$$

Subtract 140 from 35 to get -105.

$$15x-105=4\left(4x-8\right)+40$$

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

$$15x-105=16x-32+40$$

Add -32 and 40 to get 8.

$$15x-105=16x+8$$

Subtract 16x from both sides.

$$15x-105-16x=8$$

Combine 15x and -16x to get -x.

$$-x-105=8$$

Add 105 to both sides.

$$-x=8+105$$

Add 8 and 105 to get 113.

$$-x=113$$

Multiply both sides by -1.

$$x=-113$$