-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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