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

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


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

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

Combine like terms: 5x + -1x = 4x
3 + 4x = 7 + 5x + -6

Reorder the terms:
3 + 4x = 7 + -6 + 5x

Combine like terms: 7 + -6 = 1
3 + 4x = 1 + 5x

Solving
3 + 4x = 1 + 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 + 4x + -5x = 1 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
3 + -1x = 1 + 0
3 + -1x = 1

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

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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