Solve 7x/8-5=9x/10-8

$$\frac { 7 x } { 8 } - 5 = \frac { 9 x } { 10 } - 8$$

Solve for x

$$x=120$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 40, the least common multiple of 8,10.

$$5\times 7x-200=4\times 9x-320$$

Multiply 5 and 7 to get 35.

$$35x-200=4\times 9x-320$$

Multiply 4 and 9 to get 36.

$$35x-200=36x-320$$

Subtract 36x from both sides.

$$35x-200-36x=-320$$

Combine 35x and -36x to get -x.

$$-x-200=-320$$

Add 200 to both sides.

$$-x=-320+200$$

Add -320 and 200 to get -120.

$$-x=-120$$

Multiply both sides by -1.

$$x=120$$