3(x-3)+12=4x-2

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Solution for 3(x-3)+12=4x-2 equation:


Simplifying
3(x + -3) + 12 = 4x + -2

Reorder the terms:
3(-3 + x) + 12 = 4x + -2
(-3 * 3 + x * 3) + 12 = 4x + -2
(-9 + 3x) + 12 = 4x + -2

Reorder the terms:
-9 + 12 + 3x = 4x + -2

Combine like terms: -9 + 12 = 3
3 + 3x = 4x + -2

Reorder the terms:
3 + 3x = -2 + 4x

Solving
3 + 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.
3 + 3x + -4x = -2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
3 + -1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -1x = -2 + 0
3 + -1x = -2

Add '-3' to each side of the equation.
3 + -3 + -1x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -2 + -3
-1x = -2 + -3

Combine like terms: -2 + -3 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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