Solve 3x-8/7-12-x/14=3

$$\frac { 3 x - 8 } { 7 } - \frac { 12 - x } { 14 } = 3$$

Solve for x

$$x=10$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 14, the least common multiple of 7,14.

$$2\left(3x-8\right)-\left(12-x\right)=42$$

Use the distributive property to multiply 2 by 3x-8.

$$6x-16-\left(12-x\right)=42$$

To find the opposite of 12-x, find the opposite of each term.

$$6x-16-12-\left(-x\right)=42$$

The opposite of -x is x.

$$6x-16-12+x=42$$

Subtract 12 from -16 to get -28.

$$6x-28+x=42$$

Combine 6x and x to get 7x.

$$7x-28=42$$

Add 28 to both sides.

$$7x=42+28$$

Add 42 and 28 to get 70.

$$7x=70$$

Divide both sides by 7.

$$x=\frac{70}{7}$$

Divide 70 by 7 to get 10.

$$x=10$$