6x+5-4x=3x-8+10

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Solution for 6x+5-4x=3x-8+10 equation:


Simplifying
6x + 5 + -4x = 3x + -8 + 10

Reorder the terms:
5 + 6x + -4x = 3x + -8 + 10

Combine like terms: 6x + -4x = 2x
5 + 2x = 3x + -8 + 10

Reorder the terms:
5 + 2x = -8 + 10 + 3x

Combine like terms: -8 + 10 = 2
5 + 2x = 2 + 3x

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

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

Combine like terms: 3x + -3x = 0
5 + -1x = 2 + 0
5 + -1x = 2

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

Combine like terms: 5 + -5 = 0
0 + -1x = 2 + -5
-1x = 2 + -5

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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