3x-6-x+3=4x-7+x+7

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Solution for 3x-6-x+3=4x-7+x+7 equation:


Simplifying
3x + -6 + -1x + 3 = 4x + -7 + x + 7

Reorder the terms:
-6 + 3 + 3x + -1x = 4x + -7 + x + 7

Combine like terms: -6 + 3 = -3
-3 + 3x + -1x = 4x + -7 + x + 7

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

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

Combine like terms: -7 + 7 = 0
-3 + 2x = 0 + 4x + x
-3 + 2x = 4x + x

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

Solving
-3 + 2x = 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-3 + 2x + -5x = 5x + -5x

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

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

Add '3' to each side of the equation.
-3 + 3 + -3x = 0 + 3

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

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

Divide each side by '-3'.
x = -1

Simplifying
x = -1

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