Solve 9x/3=-4x/8+2x-3/12

$$\frac { 9 x } { 3 } = \frac { - 4 x } { 8 } + \frac { 2 x - 3 } { 12 }$$

Solve for x

$$x=-\frac{3}{40}=-0.075$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 3,8,12.

$$8\times 9x=3\left(-4\right)x+2\left(2x-3\right)$$

Multiply 8 and 9 to get 72.

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

Multiply 3 and -4 to get -12.

$$72x=-12x+2\left(2x-3\right)$$

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

$$72x=-12x+4x-6$$

Combine -12x and 4x to get -8x.

$$72x=-8x-6$$

Add 8x to both sides.

$$72x+8x=-6$$

Combine 72x and 8x to get 80x.

$$80x=-6$$

Divide both sides by 80.

$$x=\frac{-6}{80}$$

Reduce the fraction \frac{-6}{80} to lowest terms by extracting and canceling out 2.

$$x=-\frac{3}{40}$$