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

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


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

Reorder the terms:
4x + 2(-3 + x) = 12(x + -3)
4x + (-3 * 2 + x * 2) = 12(x + -3)
4x + (-6 + 2x) = 12(x + -3)

Reorder the terms:
-6 + 4x + 2x = 12(x + -3)

Combine like terms: 4x + 2x = 6x
-6 + 6x = 12(x + -3)

Reorder the terms:
-6 + 6x = 12(-3 + x)
-6 + 6x = (-3 * 12 + x * 12)
-6 + 6x = (-36 + 12x)

Solving
-6 + 6x = -36 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-6 + 6x + -12x = -36 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-6 + -6x = -36 + 12x + -12x

Combine like terms: 12x + -12x = 0
-6 + -6x = -36 + 0
-6 + -6x = -36

Add '6' to each side of the equation.
-6 + 6 + -6x = -36 + 6

Combine like terms: -6 + 6 = 0
0 + -6x = -36 + 6
-6x = -36 + 6

Combine like terms: -36 + 6 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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