2x-8+x+11=7x-83

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Solution for 2x-8+x+11=7x-83 equation:


Simplifying
2x + -8 + x + 11 = 7x + -83

Reorder the terms:
-8 + 11 + 2x + x = 7x + -83

Combine like terms: -8 + 11 = 3
3 + 2x + x = 7x + -83

Combine like terms: 2x + x = 3x
3 + 3x = 7x + -83

Reorder the terms:
3 + 3x = -83 + 7x

Solving
3 + 3x = -83 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
3 + 3x + -7x = -83 + 7x + -7x

Combine like terms: 3x + -7x = -4x
3 + -4x = -83 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -4x = -83 + 0
3 + -4x = -83

Add '-3' to each side of the equation.
3 + -3 + -4x = -83 + -3

Combine like terms: 3 + -3 = 0
0 + -4x = -83 + -3
-4x = -83 + -3

Combine like terms: -83 + -3 = -86
-4x = -86

Divide each side by '-4'.
x = 21.5

Simplifying
x = 21.5

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