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

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


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

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

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

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

Solving
2 + -5x = 6 + -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.
2 + -5x + 3x = 6 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
2 + -2x = 6 + 0
2 + -2x = 6

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

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

Combine like terms: 6 + -2 = 4
-2x = 4

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

Simplifying
x = -2

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