-12(x+2)+4(4x-7)=3(x-5)+9

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Solution for -12(x+2)+4(4x-7)=3(x-5)+9 equation:


Simplifying
-12(x + 2) + 4(4x + -7) = 3(x + -5) + 9

Reorder the terms:
-12(2 + x) + 4(4x + -7) = 3(x + -5) + 9
(2 * -12 + x * -12) + 4(4x + -7) = 3(x + -5) + 9
(-24 + -12x) + 4(4x + -7) = 3(x + -5) + 9

Reorder the terms:
-24 + -12x + 4(-7 + 4x) = 3(x + -5) + 9
-24 + -12x + (-7 * 4 + 4x * 4) = 3(x + -5) + 9
-24 + -12x + (-28 + 16x) = 3(x + -5) + 9

Reorder the terms:
-24 + -28 + -12x + 16x = 3(x + -5) + 9

Combine like terms: -24 + -28 = -52
-52 + -12x + 16x = 3(x + -5) + 9

Combine like terms: -12x + 16x = 4x
-52 + 4x = 3(x + -5) + 9

Reorder the terms:
-52 + 4x = 3(-5 + x) + 9
-52 + 4x = (-5 * 3 + x * 3) + 9
-52 + 4x = (-15 + 3x) + 9

Reorder the terms:
-52 + 4x = -15 + 9 + 3x

Combine like terms: -15 + 9 = -6
-52 + 4x = -6 + 3x

Solving
-52 + 4x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-52 + 4x + -3x = -6 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-52 + 1x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-52 + 1x = -6 + 0
-52 + 1x = -6

Add '52' to each side of the equation.
-52 + 52 + 1x = -6 + 52

Combine like terms: -52 + 52 = 0
0 + 1x = -6 + 52
1x = -6 + 52

Combine like terms: -6 + 52 = 46
1x = 46

Divide each side by '1'.
x = 46

Simplifying
x = 46

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