Solve x/3-4+7x+12/6=3x-4/12

$$\frac{ x }{ 3 } -4+ \frac{ 7x+12 }{ 6 } = \frac{ 3x-4 }{ 12 }$$

Solve for x

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 3,6,12.

$$4x-48+2\left(7x+12\right)=3x-4$$

Use the distributive property to multiply 2 by 7x+12.

$$4x-48+14x+24=3x-4$$

Combine 4x and 14x to get 18x.

$$18x-48+24=3x-4$$

Add -48 and 24 to get -24.

$$18x-24=3x-4$$

Subtract 3x from both sides.

$$18x-24-3x=-4$$

Combine 18x and -3x to get 15x.

$$15x-24=-4$$

Add 24 to both sides.

$$15x=-4+24$$

Add -4 and 24 to get 20.

$$15x=20$$

Divide both sides by 15.

$$x=\frac{20}{15}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

$$x=\frac{4}{3}$$