8x+7+(-x)+(-2)=5x+11

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Solution for 8x+7+(-x)+(-2)=5x+11 equation:


Simplifying
8x + 7 + (-1x) + (-2) = 5x + 11
8x + 7 + (-1x) + -2 = 5x + 11

Reorder the terms:
7 + -2 + 8x + (-1x) = 5x + 11

Combine like terms: 7 + -2 = 5
5 + 8x + (-1x) = 5x + 11

Combine like terms: 8x + (-1x) = 7x
5 + 7x = 5x + 11

Reorder the terms:
5 + 7x = 11 + 5x

Solving
5 + 7x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 7x + -5x = 11 + 5x + -5x

Combine like terms: 7x + -5x = 2x
5 + 2x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 2x = 11 + 0
5 + 2x = 11

Add '-5' to each side of the equation.
5 + -5 + 2x = 11 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 11 + -5
2x = 11 + -5

Combine like terms: 11 + -5 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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