Solve 2x-3x/4+6=12+3x+4/3

$$2 x - \frac { 3 x } { 4 } + 6 = 12 + \frac { 3 x + 4 } { 3 }$$

Solve for x

$$x = \frac{88}{3} = 29\frac{1}{3} \approx 29.333333333$$

Steps for Solving Linear Equation

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

$$24x-3\times 3x+72=144+4\left(3x+4\right)$$

Multiply -3 and 3 to get -9.

$$24x-9x+72=144+4\left(3x+4\right)$$

Combine 24x and -9x to get 15x.

$$15x+72=144+4\left(3x+4\right)$$

Use the distributive property to multiply 4 by 3x+4.

$$15x+72=144+12x+16$$

Add 144 and 16 to get 160.

$$15x+72=160+12x$$

Subtract 12x from both sides.

$$15x+72-12x=160$$

Combine 15x and -12x to get 3x.

$$3x+72=160$$

Subtract 72 from both sides.

$$3x=160-72$$

Subtract 72 from 160 to get 88.

$$3x=88$$

Divide both sides by 3.

$$x=\frac{88}{3}$$