12(x-3)-144(x+2)=36+48x

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Solution for 12(x-3)-144(x+2)=36+48x equation:


Simplifying
12(x + -3) + -144(x + 2) = 36 + 48x

Reorder the terms:
12(-3 + x) + -144(x + 2) = 36 + 48x
(-3 * 12 + x * 12) + -144(x + 2) = 36 + 48x
(-36 + 12x) + -144(x + 2) = 36 + 48x

Reorder the terms:
-36 + 12x + -144(2 + x) = 36 + 48x
-36 + 12x + (2 * -144 + x * -144) = 36 + 48x
-36 + 12x + (-288 + -144x) = 36 + 48x

Reorder the terms:
-36 + -288 + 12x + -144x = 36 + 48x

Combine like terms: -36 + -288 = -324
-324 + 12x + -144x = 36 + 48x

Combine like terms: 12x + -144x = -132x
-324 + -132x = 36 + 48x

Solving
-324 + -132x = 36 + 48x

Solving for variable 'x'.

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

Add '-48x' to each side of the equation.
-324 + -132x + -48x = 36 + 48x + -48x

Combine like terms: -132x + -48x = -180x
-324 + -180x = 36 + 48x + -48x

Combine like terms: 48x + -48x = 0
-324 + -180x = 36 + 0
-324 + -180x = 36

Add '324' to each side of the equation.
-324 + 324 + -180x = 36 + 324

Combine like terms: -324 + 324 = 0
0 + -180x = 36 + 324
-180x = 36 + 324

Combine like terms: 36 + 324 = 360
-180x = 360

Divide each side by '-180'.
x = -2

Simplifying
x = -2

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