2x+7-8x=33-11x+14

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Solution for 2x+7-8x=33-11x+14 equation: 


Simplifying
2x + 7 + -8x = 33 + -11x + 14

Reorder the terms:
7 + 2x + -8x = 33 + -11x + 14

Combine like terms: 2x + -8x = -6x
7 + -6x = 33 + -11x + 14

Reorder the terms:
7 + -6x = 33 + 14 + -11x

Combine like terms: 33 + 14 = 47
7 + -6x = 47 + -11x

Solving
7 + -6x = 47 + -11x

Solving for variable 'x'.

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

Add '11x' to each side of the equation.
7 + -6x + 11x = 47 + -11x + 11x

Combine like terms: -6x + 11x = 5x
7 + 5x = 47 + -11x + 11x

Combine like terms: -11x + 11x = 0
7 + 5x = 47 + 0
7 + 5x = 47

Add '-7' to each side of the equation.
7 + -7 + 5x = 47 + -7

Combine like terms: 7 + -7 = 0
0 + 5x = 47 + -7
5x = 47 + -7

Combine like terms: 47 + -7 = 40
5x = 40

Divide each side by '5'.
x = 8

Simplifying
x = 8

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