3-3x+2x+1=2x+x-6

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Solution for 3-3x+2x+1=2x+x-6 equation:


Simplifying
3 + -3x + 2x + 1 = 2x + x + -6

Reorder the terms:
3 + 1 + -3x + 2x = 2x + x + -6

Combine like terms: 3 + 1 = 4
4 + -3x + 2x = 2x + x + -6

Combine like terms: -3x + 2x = -1x
4 + -1x = 2x + x + -6

Reorder the terms:
4 + -1x = -6 + 2x + x

Combine like terms: 2x + x = 3x
4 + -1x = -6 + 3x

Solving
4 + -1x = -6 + 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.
4 + -1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
4 + -4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -4x = -6 + 0
4 + -4x = -6

Add '-4' to each side of the equation.
4 + -4 + -4x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -6 + -4
-4x = -6 + -4

Combine like terms: -6 + -4 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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