12x-3(3x-2)=2x+10

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Solution for 12x-3(3x-2)=2x+10 equation:


Simplifying
12x + -3(3x + -2) = 2x + 10

Reorder the terms:
12x + -3(-2 + 3x) = 2x + 10
12x + (-2 * -3 + 3x * -3) = 2x + 10
12x + (6 + -9x) = 2x + 10

Reorder the terms:
6 + 12x + -9x = 2x + 10

Combine like terms: 12x + -9x = 3x
6 + 3x = 2x + 10

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

Solving
6 + 3x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
6 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
6 + 1x = 10 + 0
6 + 1x = 10

Add '-6' to each side of the equation.
6 + -6 + 1x = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 10 + -6
1x = 10 + -6

Combine like terms: 10 + -6 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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