2-3x+3+2x=2x-4+x-7

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Solution for 2-3x+3+2x=2x-4+x-7 equation:


Simplifying
2 + -3x + 3 + 2x = 2x + -4 + x + -7

Reorder the terms:
2 + 3 + -3x + 2x = 2x + -4 + x + -7

Combine like terms: 2 + 3 = 5
5 + -3x + 2x = 2x + -4 + x + -7

Combine like terms: -3x + 2x = -1x
5 + -1x = 2x + -4 + x + -7

Reorder the terms:
5 + -1x = -4 + -7 + 2x + x

Combine like terms: -4 + -7 = -11
5 + -1x = -11 + 2x + x

Combine like terms: 2x + x = 3x
5 + -1x = -11 + 3x

Solving
5 + -1x = -11 + 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.
5 + -1x + -3x = -11 + 3x + -3x

Combine like terms: -1x + -3x = -4x
5 + -4x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -4x = -11 + 0
5 + -4x = -11

Add '-5' to each side of the equation.
5 + -5 + -4x = -11 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = -11 + -5
-4x = -11 + -5

Combine like terms: -11 + -5 = -16
-4x = -16

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

Simplifying
x = 4

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