Solve 7x+2/18-x=5x-2/24-8

$$\frac { 7 x + 2 } { 18 } - x = \frac { 5 x - 2 } { 24 } - 8$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 72, the least common multiple of 18,24.

$$4\left(7x+2\right)-72x=3\left(5x-2\right)-576$$

Use the distributive property to multiply 4 by 7x+2.

$$28x+8-72x=3\left(5x-2\right)-576$$

Combine 28x and -72x to get -44x.

$$-44x+8=3\left(5x-2\right)-576$$

Use the distributive property to multiply 3 by 5x-2.

$$-44x+8=15x-6-576$$

Subtract 576 from -6 to get -582.

$$-44x+8=15x-582$$

Subtract 15x from both sides.

$$-44x+8-15x=-582$$

Combine -44x and -15x to get -59x.

$$-59x+8=-582$$

Subtract 8 from both sides.

$$-59x=-582-8$$

Subtract 8 from -582 to get -590.

$$-59x=-590$$

Divide both sides by -59.

$$x=\frac{-590}{-59}$$

Divide -590 by -59 to get 10.

$$x=10$$