5x+2x-8=5x+x-10

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Solution for 5x+2x-8=5x+x-10 equation:


Simplifying
5x + 2x + -8 = 5x + x + -10

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

Combine like terms: 5x + 2x = 7x
-8 + 7x = 5x + x + -10

Reorder the terms:
-8 + 7x = -10 + 5x + x

Combine like terms: 5x + x = 6x
-8 + 7x = -10 + 6x

Solving
-8 + 7x = -10 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-8 + 7x + -6x = -10 + 6x + -6x

Combine like terms: 7x + -6x = 1x
-8 + 1x = -10 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8 + 1x = -10 + 0
-8 + 1x = -10

Add '8' to each side of the equation.
-8 + 8 + 1x = -10 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = -10 + 8
1x = -10 + 8

Combine like terms: -10 + 8 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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