4x-2+2x=51-3x-80

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Solution for 4x-2+2x=51-3x-80 equation:


Simplifying
4x + -2 + 2x = 51 + -3x + -80

Reorder the terms:
-2 + 4x + 2x = 51 + -3x + -80

Combine like terms: 4x + 2x = 6x
-2 + 6x = 51 + -3x + -80

Reorder the terms:
-2 + 6x = 51 + -80 + -3x

Combine like terms: 51 + -80 = -29
-2 + 6x = -29 + -3x

Solving
-2 + 6x = -29 + -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.
-2 + 6x + 3x = -29 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-2 + 9x = -29 + -3x + 3x

Combine like terms: -3x + 3x = 0
-2 + 9x = -29 + 0
-2 + 9x = -29

Add '2' to each side of the equation.
-2 + 2 + 9x = -29 + 2

Combine like terms: -2 + 2 = 0
0 + 9x = -29 + 2
9x = -29 + 2

Combine like terms: -29 + 2 = -27
9x = -27

Divide each side by '9'.
x = -3

Simplifying
x = -3

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