5x-10=8x+2

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


Simplifying
5x + -10 = 8x + 2

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

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

Solving
-10 + 5x = 2 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 5x + -8x = 2 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
-10 + -3x = 2 + 0
-10 + -3x = 2

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

Combine like terms: -10 + 10 = 0
0 + -3x = 2 + 10
-3x = 2 + 10

Combine like terms: 2 + 10 = 12
-3x = 12

Divide each side by '-3'.
x = -4

Simplifying
x = -4

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