2x-8x+13=4x+33

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Solution for 2x-8x+13=4x+33 equation:


Simplifying
2x + -8x + 13 = 4x + 33

Reorder the terms:
13 + 2x + -8x = 4x + 33

Combine like terms: 2x + -8x = -6x
13 + -6x = 4x + 33

Reorder the terms:
13 + -6x = 33 + 4x

Solving
13 + -6x = 33 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
13 + -6x + -4x = 33 + 4x + -4x

Combine like terms: -6x + -4x = -10x
13 + -10x = 33 + 4x + -4x

Combine like terms: 4x + -4x = 0
13 + -10x = 33 + 0
13 + -10x = 33

Add '-13' to each side of the equation.
13 + -13 + -10x = 33 + -13

Combine like terms: 13 + -13 = 0
0 + -10x = 33 + -13
-10x = 33 + -13

Combine like terms: 33 + -13 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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