2(3x-24)-(5x+9)=4x-12

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Solution for 2(3x-24)-(5x+9)=4x-12 equation:


Simplifying
2(3x + -24) + -1(5x + 9) = 4x + -12

Reorder the terms:
2(-24 + 3x) + -1(5x + 9) = 4x + -12
(-24 * 2 + 3x * 2) + -1(5x + 9) = 4x + -12
(-48 + 6x) + -1(5x + 9) = 4x + -12

Reorder the terms:
-48 + 6x + -1(9 + 5x) = 4x + -12
-48 + 6x + (9 * -1 + 5x * -1) = 4x + -12
-48 + 6x + (-9 + -5x) = 4x + -12

Reorder the terms:
-48 + -9 + 6x + -5x = 4x + -12

Combine like terms: -48 + -9 = -57
-57 + 6x + -5x = 4x + -12

Combine like terms: 6x + -5x = 1x
-57 + 1x = 4x + -12

Reorder the terms:
-57 + 1x = -12 + 4x

Solving
-57 + 1x = -12 + 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.
-57 + 1x + -4x = -12 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-57 + -3x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-57 + -3x = -12 + 0
-57 + -3x = -12

Add '57' to each side of the equation.
-57 + 57 + -3x = -12 + 57

Combine like terms: -57 + 57 = 0
0 + -3x = -12 + 57
-3x = -12 + 57

Combine like terms: -12 + 57 = 45
-3x = 45

Divide each side by '-3'.
x = -15

Simplifying
x = -15

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