Solve 2x-4/3=1-5x+12/6

$$\frac { 2 x - 4 } { 3 } = 1 - \frac { 5 x + 12 } { 6 }$$

Solve for x

$$x=\frac{2}{9}\approx 0.222222222$$

Steps for Solving Linear Equation

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

$$2\left(2x-4\right)=6-\left(5x+12\right)$$

Use the distributive property to multiply 2 by 2x-4.

$$4x-8=6-\left(5x+12\right)$$

To find the opposite of 5x+12, find the opposite of each term.

$$4x-8=6-5x-12$$

Subtract 12 from 6 to get -6.

$$4x-8=-6-5x$$

Add 5x to both sides.

$$4x-8+5x=-6$$

Combine 4x and 5x to get 9x.

$$9x-8=-6$$

Add 8 to both sides.

$$9x=-6+8$$

Add -6 and 8 to get 2.

$$9x=2$$

Divide both sides by 9.

$$x=\frac{2}{9}$$