Solve 12x+14/2-3x=x-x-1/7

$$\frac { 12 x + 14 } { 2 } - 3 x = x - \frac { x - 1 } { 7 }$$

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 14, the least common multiple of 2,7.

$$7\left(12x+14\right)-42x=14x-2\left(x-1\right)$$

Use the distributive property to multiply 7 by 12x+14.

$$84x+98-42x=14x-2\left(x-1\right)$$

Combine 84x and -42x to get 42x.

$$42x+98=14x-2\left(x-1\right)$$

Use the distributive property to multiply -2 by x-1.

$$42x+98=14x-2x+2$$

Combine 14x and -2x to get 12x.

$$42x+98=12x+2$$

Subtract 12x from both sides.

$$42x+98-12x=2$$

Combine 42x and -12x to get 30x.

$$30x+98=2$$

Subtract 98 from both sides.

$$30x=2-98$$

Subtract 98 from 2 to get -96.

$$30x=-96$$

Divide both sides by 30.

$$x=\frac{-96}{30}$$

Reduce the fraction \frac{-96}{30} to lowest terms by extracting and canceling out 6.

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