4(x-3)-(2x+3)=12-(x-6)

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Solution for 4(x-3)-(2x+3)=12-(x-6) equation:


Simplifying
4(x + -3) + -1(2x + 3) = 12 + -1(x + -6)

Reorder the terms:
4(-3 + x) + -1(2x + 3) = 12 + -1(x + -6)
(-3 * 4 + x * 4) + -1(2x + 3) = 12 + -1(x + -6)
(-12 + 4x) + -1(2x + 3) = 12 + -1(x + -6)

Reorder the terms:
-12 + 4x + -1(3 + 2x) = 12 + -1(x + -6)
-12 + 4x + (3 * -1 + 2x * -1) = 12 + -1(x + -6)
-12 + 4x + (-3 + -2x) = 12 + -1(x + -6)

Reorder the terms:
-12 + -3 + 4x + -2x = 12 + -1(x + -6)

Combine like terms: -12 + -3 = -15
-15 + 4x + -2x = 12 + -1(x + -6)

Combine like terms: 4x + -2x = 2x
-15 + 2x = 12 + -1(x + -6)

Reorder the terms:
-15 + 2x = 12 + -1(-6 + x)
-15 + 2x = 12 + (-6 * -1 + x * -1)
-15 + 2x = 12 + (6 + -1x)

Combine like terms: 12 + 6 = 18
-15 + 2x = 18 + -1x

Solving
-15 + 2x = 18 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-15 + 2x + x = 18 + -1x + x

Combine like terms: 2x + x = 3x
-15 + 3x = 18 + -1x + x

Combine like terms: -1x + x = 0
-15 + 3x = 18 + 0
-15 + 3x = 18

Add '15' to each side of the equation.
-15 + 15 + 3x = 18 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 18 + 15
3x = 18 + 15

Combine like terms: 18 + 15 = 33
3x = 33

Divide each side by '3'.
x = 11

Simplifying
x = 11

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