10x-(4x+6)+12=3x

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Solution for 10x-(4x+6)+12=3x equation:


Simplifying
10x + -1(4x + 6) + 12 = 3x

Reorder the terms:
10x + -1(6 + 4x) + 12 = 3x
10x + (6 * -1 + 4x * -1) + 12 = 3x
10x + (-6 + -4x) + 12 = 3x

Reorder the terms:
-6 + 12 + 10x + -4x = 3x

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

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

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

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

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

Add '-6' to each side of the equation.
6 + -6 + 3x = 0 + -6

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

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

Divide each side by '3'.
x = -2

Simplifying
x = -2

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