Solve 3x+27+x+53=6x-51+6x-51

$$3x+27+x+53=6x-51+6x-51$$

Solve for x

$$x = \frac{91}{4} = 22\frac{3}{4} = 22.75$$

Steps for Solving Linear Equation

Combine 3x and x to get 4x.

$$4x+27+53=6x-51+6x-51$$

Add 27 and 53 to get 80.

$$4x+80=6x-51+6x-51$$

Combine 6x and 6x to get 12x.

$$4x+80=12x-51-51$$

Subtract 51 from -51 to get -102.

$$4x+80=12x-102$$

Subtract 12x from both sides.

$$4x+80-12x=-102$$

Combine 4x and -12x to get -8x.

$$-8x+80=-102$$

Subtract 80 from both sides.

$$-8x=-102-80$$

Subtract 80 from -102 to get -182.

$$-8x=-182$$

Divide both sides by -8.

$$x=\frac{-182}{-8}$$

Reduce the fraction \frac{-182}{-8} to lowest terms by extracting and canceling out -2.

$$x=\frac{91}{4}$$