2x+11-x=8+3x-7

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Solution for 2x+11-x=8+3x-7 equation:


Simplifying
2x + 11 + -1x = 8 + 3x + -7

Reorder the terms:
11 + 2x + -1x = 8 + 3x + -7

Combine like terms: 2x + -1x = 1x
11 + 1x = 8 + 3x + -7

Reorder the terms:
11 + 1x = 8 + -7 + 3x

Combine like terms: 8 + -7 = 1
11 + 1x = 1 + 3x

Solving
11 + 1x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
11 + 1x + -3x = 1 + 3x + -3x

Combine like terms: 1x + -3x = -2x
11 + -2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -2x = 1 + 0
11 + -2x = 1

Add '-11' to each side of the equation.
11 + -11 + -2x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 1 + -11
-2x = 1 + -11

Combine like terms: 1 + -11 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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