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

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


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

Reorder the terms:
3(2 + x) + 3 = 4(x + -4) + 4
(2 * 3 + x * 3) + 3 = 4(x + -4) + 4
(6 + 3x) + 3 = 4(x + -4) + 4

Reorder the terms:
6 + 3 + 3x = 4(x + -4) + 4

Combine like terms: 6 + 3 = 9
9 + 3x = 4(x + -4) + 4

Reorder the terms:
9 + 3x = 4(-4 + x) + 4
9 + 3x = (-4 * 4 + x * 4) + 4
9 + 3x = (-16 + 4x) + 4

Reorder the terms:
9 + 3x = -16 + 4 + 4x

Combine like terms: -16 + 4 = -12
9 + 3x = -12 + 4x

Solving
9 + 3x = -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.
9 + 3x + -4x = -12 + 4x + -4x

Combine like terms: 3x + -4x = -1x
9 + -1x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -1x = -12 + 0
9 + -1x = -12

Add '-9' to each side of the equation.
9 + -9 + -1x = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -12 + -9
-1x = -12 + -9

Combine like terms: -12 + -9 = -21
-1x = -21

Divide each side by '-1'.
x = 21

Simplifying
x = 21

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