Solve 2x+10-7x-14=x-36

$$2 x + 10 - 7 x - 14 = x - 36$$

Solve for x

$$x = \frac{16}{3} = 5\frac{1}{3} \approx 5.333333333$$

Steps for Solving Linear Equation

Combine 2x and -7x to get -5x.

$$-5x+10-14=x-36$$

Subtract 14 from 10 to get -4.

$$-5x-4=x-36$$

Subtract x from both sides.

$$-5x-4-x=-36$$

Combine -5x and -x to get -6x.

$$-6x-4=-36$$

Add 4 to both sides.

$$-6x=-36+4$$

Add -36 and 4 to get -32.

$$-6x=-32$$

Divide both sides by -6.

$$x=\frac{-32}{-6}$$

Reduce the fraction \frac{-32}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{16}{3}$$