12x+10=3x-6+x

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Solution for 12x+10=3x-6+x equation:


Simplifying
12x + 10 = 3x + -6 + x

Reorder the terms:
10 + 12x = 3x + -6 + x

Reorder the terms:
10 + 12x = -6 + 3x + x

Combine like terms: 3x + x = 4x
10 + 12x = -6 + 4x

Solving
10 + 12x = -6 + 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 + 12x + -4x = -6 + 4x + -4x

Combine like terms: 12x + -4x = 8x
10 + 8x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 8x = -6 + 0
10 + 8x = -6

Add '-10' to each side of the equation.
10 + -10 + 8x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -6 + -10
8x = -6 + -10

Combine like terms: -6 + -10 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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