Solve x+2/4-1-2x/12=1

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

Solve for x

$$x = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

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

$$3\left(x+2\right)-\left(1-2x\right)=12$$

Use the distributive property to multiply 3 by x+2.

$$3x+6-\left(1-2x\right)=12$$

To find the opposite of 1-2x, find the opposite of each term.

$$3x+6-1-\left(-2x\right)=12$$

The opposite of -2x is 2x.

$$3x+6-1+2x=12$$

Subtract 1 from 6 to get 5.

$$3x+5+2x=12$$

Combine 3x and 2x to get 5x.

$$5x+5=12$$

Subtract 5 from both sides.

$$5x=12-5$$

Subtract 5 from 12 to get 7.

$$5x=7$$

Divide both sides by 5.

$$x=\frac{7}{5}$$