Solve 2x/5-12=3x/4+16

$$\frac{ 2x }{ 5 } -12= \frac{ 3x }{ 4 } +16$$

Solve for x

$$x=-80$$

Steps for Solving Linear Equation

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

$$4\times 2x-240=5\times 3x+320$$

Multiply 4 and 2 to get 8.

$$8x-240=5\times 3x+320$$

Multiply 5 and 3 to get 15.

$$8x-240=15x+320$$

Subtract 15x from both sides.

$$8x-240-15x=320$$

Combine 8x and -15x to get -7x.

$$-7x-240=320$$

Add 240 to both sides.

$$-7x=320+240$$

Add 320 and 240 to get 560.

$$-7x=560$$

Divide both sides by -7.

$$x=\frac{560}{-7}$$

Divide 560 by -7 to get -80.

$$x=-80$$