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

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


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

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

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

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

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

Solving
8 + 5x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 5x + -1x = -2 + 1x + -1x

Combine like terms: 5x + -1x = 4x
8 + 4x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
8 + 4x = -2 + 0
8 + 4x = -2

Add '-8' to each side of the equation.
8 + -8 + 4x = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 4x = -2 + -8
4x = -2 + -8

Combine like terms: -2 + -8 = -10
4x = -10

Divide each side by '4'.
x = -2.5

Simplifying
x = -2.5

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