Solve 21/2=x+3/4-2-3x/8

$$2 \frac { 1 } { 2 } = \frac { x + 3 } { 4 } - \frac { 2 - 3 x } { 8 }$$

Solve for x

$$x = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 2,4,8.

$$4\left(2\times 2+1\right)=2\left(x+3\right)-\left(2-3x\right)$$

Multiply 2 and 2 to get 4.

$$4\left(4+1\right)=2\left(x+3\right)-\left(2-3x\right)$$

Add 4 and 1 to get 5.

$$4\times 5=2\left(x+3\right)-\left(2-3x\right)$$

Multiply 4 and 5 to get 20.

$$20=2\left(x+3\right)-\left(2-3x\right)$$

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

$$20=2x+6-\left(2-3x\right)$$

To find the opposite of 2-3x, find the opposite of each term.

$$20=2x+6-2-\left(-3x\right)$$

The opposite of -3x is 3x.

$$20=2x+6-2+3x$$

Subtract 2 from 6 to get 4.

$$20=2x+4+3x$$

Combine 2x and 3x to get 5x.

$$20=5x+4$$

Swap sides so that all variable terms are on the left hand side.

$$5x+4=20$$

Subtract 4 from both sides.

$$5x=20-4$$

Subtract 4 from 20 to get 16.

$$5x=16$$

Divide both sides by 5.

$$x=\frac{16}{5}$$