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

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


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

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

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

Reorder the terms:
-6 + -12 + X + -2x + 4x = 12

Combine like terms: -6 + -12 = -18
-18 + X + -2x + 4x = 12

Combine like terms: -2x + 4x = 2x
-18 + X + 2x = 12

Solving
-18 + X + 2x = 12

Solving for variable 'X'.

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

Add '18' to each side of the equation.
-18 + X + 18 + 2x = 12 + 18

Reorder the terms:
-18 + 18 + X + 2x = 12 + 18

Combine like terms: -18 + 18 = 0
0 + X + 2x = 12 + 18
X + 2x = 12 + 18

Combine like terms: 12 + 18 = 30
X + 2x = 30

Add '-2x' to each side of the equation.
X + 2x + -2x = 30 + -2x

Combine like terms: 2x + -2x = 0
X + 0 = 30 + -2x
X = 30 + -2x

Simplifying
X = 30 + -2x

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