7x-5x+8=2x+3x-1+3

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Solution for 7x-5x+8=2x+3x-1+3 equation: 


Simplifying
7x + -5x + 8 = 2x + 3x + -1 + 3

Reorder the terms:
8 + 7x + -5x = 2x + 3x + -1 + 3

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

Reorder the terms:
8 + 2x = -1 + 3 + 2x + 3x

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

Combine like terms: 2x + 3x = 5x
8 + 2x = 2 + 5x

Solving
8 + 2x = 2 + 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.
8 + 2x + -5x = 2 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
8 + -3x = 2 + 0
8 + -3x = 2

Add '-8' to each side of the equation.
8 + -8 + -3x = 2 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 2 + -8
-3x = 2 + -8

Combine like terms: 2 + -8 = -6
-3x = -6

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

Simplifying
x = 2

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