Solve 3x+7/4-2=4x-8/5+1

$$\frac { 3 x + 7 } { 4 } - 2 = \frac { 4 x - 8 } { 5 } + 1$$

Solve for x

$$x=7$$

Steps for Solving Linear Equation

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

$$5\left(3x+7\right)-40=4\left(4x-8\right)+20$$

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

$$15x+35-40=4\left(4x-8\right)+20$$

Subtract 40 from 35 to get -5.

$$15x-5=4\left(4x-8\right)+20$$

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

$$15x-5=16x-32+20$$

Add -32 and 20 to get -12.

$$15x-5=16x-12$$

Subtract 16x from both sides.

$$15x-5-16x=-12$$

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

$$-x-5=-12$$

Add 5 to both sides.

$$-x=-12+5$$

Add -12 and 5 to get -7.

$$-x=-7$$

Multiply both sides by -1.

$$x=7$$