10x+2=2x-7x

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Solution for 10x+2=2x-7x equation:


Simplifying
10x + 2 = 2x + -7x

Reorder the terms:
2 + 10x = 2x + -7x

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

Solving
2 + 10x = -5x

Solving for variable 'x'.

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

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

Combine like terms: 10x + 5x = 15x
2 + 15x = -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 15x = 0

Add '-2' to each side of the equation.
2 + -2 + 15x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 15x = 0 + -2
15x = 0 + -2

Combine like terms: 0 + -2 = -2
15x = -2

Divide each side by '15'.
x = -0.1333333333

Simplifying
x = -0.1333333333

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