10x+2=7x-8

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Solution for 10x+2=7x-8 equation:


Simplifying
10x + 2 = 7x + -8

Reorder the terms:
2 + 10x = 7x + -8

Reorder the terms:
2 + 10x = -8 + 7x

Solving
2 + 10x = -8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 10x + -7x = -8 + 7x + -7x

Combine like terms: 10x + -7x = 3x
2 + 3x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 3x = -8 + 0
2 + 3x = -8

Add '-2' to each side of the equation.
2 + -2 + 3x = -8 + -2

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

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

Divide each side by '3'.
x = -3.333333333

Simplifying
x = -3.333333333

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