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

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


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

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

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

Combine like terms: 2x + -6x = -4x
10 + 3x = 2 + -4x

Solving
10 + 3x = 2 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + 3x + 4x = 2 + -4x + 4x

Combine like terms: 3x + 4x = 7x
10 + 7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
10 + 7x = 2 + 0
10 + 7x = 2

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

Combine like terms: 10 + -10 = 0
0 + 7x = 2 + -10
7x = 2 + -10

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

Divide each side by '7'.
x = -1.142857143

Simplifying
x = -1.142857143

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