5x-2x+6=-3x+8+2x-3

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Solution for 5x-2x+6=-3x+8+2x-3 equation:


Simplifying
5x + -2x + 6 = -3x + 8 + 2x + -3

Reorder the terms:
6 + 5x + -2x = -3x + 8 + 2x + -3

Combine like terms: 5x + -2x = 3x
6 + 3x = -3x + 8 + 2x + -3

Reorder the terms:
6 + 3x = 8 + -3 + -3x + 2x

Combine like terms: 8 + -3 = 5
6 + 3x = 5 + -3x + 2x

Combine like terms: -3x + 2x = -1x
6 + 3x = 5 + -1x

Solving
6 + 3x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
6 + 3x + x = 5 + -1x + x

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

Combine like terms: -1x + x = 0
6 + 4x = 5 + 0
6 + 4x = 5

Add '-6' to each side of the equation.
6 + -6 + 4x = 5 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = 5 + -6
4x = 5 + -6

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

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25

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