5x-2x+10=3x-x-6

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Solution for 5x-2x+10=3x-x-6 equation:


Simplifying
5x + -2x + 10 = 3x + -1x + -6

Reorder the terms:
10 + 5x + -2x = 3x + -1x + -6

Combine like terms: 5x + -2x = 3x
10 + 3x = 3x + -1x + -6

Reorder the terms:
10 + 3x = -6 + 3x + -1x

Combine like terms: 3x + -1x = 2x
10 + 3x = -6 + 2x

Solving
10 + 3x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 3x + -2x = -6 + 2x + -2x

Combine like terms: 3x + -2x = 1x
10 + 1x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 1x = -6 + 0
10 + 1x = -6

Add '-10' to each side of the equation.
10 + -10 + 1x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = -6 + -10
1x = -6 + -10

Combine like terms: -6 + -10 = -16
1x = -16

Divide each side by '1'.
x = -16

Simplifying
x = -16

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