Solve 3x-11/4-3-4x/4=x+6/9

$$\frac { 3 x - 11 } { 4 } - \frac { 3 - 4 x } { 4 } = \frac { x + 6 } { 9 }$$

Solve for x

$$x = \frac{150}{59} = 2\frac{32}{59} \approx 2.542372881$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 36, the least common multiple of 4,9.

$$9\left(3x-11\right)-9\left(3-4x\right)=4\left(x+6\right)$$

Use the distributive property to multiply 9 by 3x-11.

$$27x-99-9\left(3-4x\right)=4\left(x+6\right)$$

Use the distributive property to multiply -9 by 3-4x.

$$27x-99-27+36x=4\left(x+6\right)$$

Subtract 27 from -99 to get -126.

$$27x-126+36x=4\left(x+6\right)$$

Combine 27x and 36x to get 63x.

$$63x-126=4\left(x+6\right)$$

Use the distributive property to multiply 4 by x+6.

$$63x-126=4x+24$$

Subtract 4x from both sides.

$$63x-126-4x=24$$

Combine 63x and -4x to get 59x.

$$59x-126=24$$

Add 126 to both sides.

$$59x=24+126$$

Add 24 and 126 to get 150.

$$59x=150$$

Divide both sides by 59.

$$x=\frac{150}{59}$$