9+3(4x-5)=12-2(x+30)

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Solution for 9+3(4x-5)=12-2(x+30) equation:


Simplifying
9 + 3(4x + -5) = 12 + -2(x + 30)

Reorder the terms:
9 + 3(-5 + 4x) = 12 + -2(x + 30)
9 + (-5 * 3 + 4x * 3) = 12 + -2(x + 30)
9 + (-15 + 12x) = 12 + -2(x + 30)

Combine like terms: 9 + -15 = -6
-6 + 12x = 12 + -2(x + 30)

Reorder the terms:
-6 + 12x = 12 + -2(30 + x)
-6 + 12x = 12 + (30 * -2 + x * -2)
-6 + 12x = 12 + (-60 + -2x)

Combine like terms: 12 + -60 = -48
-6 + 12x = -48 + -2x

Solving
-6 + 12x = -48 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 12x + 2x = -48 + -2x + 2x

Combine like terms: 12x + 2x = 14x
-6 + 14x = -48 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 14x = -48 + 0
-6 + 14x = -48

Add '6' to each side of the equation.
-6 + 6 + 14x = -48 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -48 + 6
14x = -48 + 6

Combine like terms: -48 + 6 = -42
14x = -42

Divide each side by '14'.
x = -3

Simplifying
x = -3

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