2x+5=3x+7-8

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Solution for 2x+5=3x+7-8 equation:


Simplifying
2x + 5 = 3x + 7 + -8

Reorder the terms:
5 + 2x = 3x + 7 + -8

Reorder the terms:
5 + 2x = 7 + -8 + 3x

Combine like terms: 7 + -8 = -1
5 + 2x = -1 + 3x

Solving
5 + 2x = -1 + 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 + 2x + -3x = -1 + 3x + -3x

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

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

Add '-5' to each side of the equation.
5 + -5 + -1x = -1 + -5

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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