3(x-4)-2(3x+4)-2(3x+4)=4(3-x)+5x+4

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


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

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

Reorder the terms:
-12 + 3x + -2(4 + 3x) + -2(3x + 4) = 4(3 + -1x) + 5x + 4
-12 + 3x + (4 * -2 + 3x * -2) + -2(3x + 4) = 4(3 + -1x) + 5x + 4
-12 + 3x + (-8 + -6x) + -2(3x + 4) = 4(3 + -1x) + 5x + 4

Reorder the terms:
-12 + 3x + -8 + -6x + -2(4 + 3x) = 4(3 + -1x) + 5x + 4
-12 + 3x + -8 + -6x + (4 * -2 + 3x * -2) = 4(3 + -1x) + 5x + 4
-12 + 3x + -8 + -6x + (-8 + -6x) = 4(3 + -1x) + 5x + 4

Reorder the terms:
-12 + -8 + -8 + 3x + -6x + -6x = 4(3 + -1x) + 5x + 4

Combine like terms: -12 + -8 = -20
-20 + -8 + 3x + -6x + -6x = 4(3 + -1x) + 5x + 4

Combine like terms: -20 + -8 = -28
-28 + 3x + -6x + -6x = 4(3 + -1x) + 5x + 4

Combine like terms: 3x + -6x = -3x
-28 + -3x + -6x = 4(3 + -1x) + 5x + 4

Combine like terms: -3x + -6x = -9x
-28 + -9x = 4(3 + -1x) + 5x + 4
-28 + -9x = (3 * 4 + -1x * 4) + 5x + 4
-28 + -9x = (12 + -4x) + 5x + 4

Reorder the terms:
-28 + -9x = 12 + 4 + -4x + 5x

Combine like terms: 12 + 4 = 16
-28 + -9x = 16 + -4x + 5x

Combine like terms: -4x + 5x = 1x
-28 + -9x = 16 + 1x

Solving
-28 + -9x = 16 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-28 + -9x + -1x = 16 + 1x + -1x

Combine like terms: -9x + -1x = -10x
-28 + -10x = 16 + 1x + -1x

Combine like terms: 1x + -1x = 0
-28 + -10x = 16 + 0
-28 + -10x = 16

Add '28' to each side of the equation.
-28 + 28 + -10x = 16 + 28

Combine like terms: -28 + 28 = 0
0 + -10x = 16 + 28
-10x = 16 + 28

Combine like terms: 16 + 28 = 44
-10x = 44

Divide each side by '-10'.
x = -4.4

Simplifying
x = -4.4

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