5+x-6-x=3x-7

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Solution for 5+x-6-x=3x-7 equation:


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

Reorder the terms:
5 + -6 + x + -1x = 3x + -7

Combine like terms: 5 + -6 = -1
-1 + x + -1x = 3x + -7

Combine like terms: x + -1x = 0
-1 + 0 = 3x + -7
-1 = 3x + -7

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

Solving
-1 = -7 + 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.
-1 + -3x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -3x = -7 + 0
-1 + -3x = -7

Add '1' to each side of the equation.
-1 + 1 + -3x = -7 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = -7 + 1
-3x = -7 + 1

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

Divide each side by '-3'.
x = 2

Simplifying
x = 2

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