Solve 4x/3-(-5x/6+13)/4=6

$$\frac { 4 x } { 3 } - \frac { ( - \frac { 5 x } { 6 } + 13 ) } { 4 } = 6$$

Solve for x

$$x=6$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\times 4x-3\left(-\frac{5x}{6}+13\right)=72$$

Multiply 4 and 4 to get 16.

$$16x-3\left(-\frac{5x}{6}+13\right)=72$$

Use the distributive property to multiply -3 by -\frac{5x}{6}+13.

$$16x-3\left(-\frac{5x}{6}\right)-39=72$$

Multiply -3 and -1 to get 3.

$$16x+3\times \frac{5x}{6}-39=72$$

Cancel out 6, the greatest common factor in 3 and 6.

$$16x+\frac{5x}{2}-39=72$$

Add 39 to both sides.

$$16x+\frac{5x}{2}=72+39$$

Add 72 and 39 to get 111.

$$16x+\frac{5x}{2}=111$$

Multiply both sides of the equation by 2.

$$32x+5x=222$$

Combine 32x and 5x to get 37x.

$$37x=222$$

Divide both sides by 37.

$$x=\frac{222}{37}$$

Divide 222 by 37 to get 6.

$$x=6$$