3(x-3)+3(x-3)+(x+3)+(x+3)=84

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Solution for 3(x-3)+3(x-3)+(x+3)+(x+3)=84 equation:


Simplifying
3(x + -3) + 3(x + -3) + (x + 3) + (x + 3) = 84

Reorder the terms:
3(-3 + x) + 3(x + -3) + (x + 3) + (x + 3) = 84
(-3 * 3 + x * 3) + 3(x + -3) + (x + 3) + (x + 3) = 84
(-9 + 3x) + 3(x + -3) + (x + 3) + (x + 3) = 84

Reorder the terms:
-9 + 3x + 3(-3 + x) + (x + 3) + (x + 3) = 84
-9 + 3x + (-3 * 3 + x * 3) + (x + 3) + (x + 3) = 84
-9 + 3x + (-9 + 3x) + (x + 3) + (x + 3) = 84

Reorder the terms:
-9 + 3x + -9 + 3x + (3 + x) + (x + 3) = 84

Remove parenthesis around (3 + x)
-9 + 3x + -9 + 3x + 3 + x + (x + 3) = 84

Reorder the terms:
-9 + 3x + -9 + 3x + 3 + x + (3 + x) = 84

Remove parenthesis around (3 + x)
-9 + 3x + -9 + 3x + 3 + x + 3 + x = 84

Reorder the terms:
-9 + -9 + 3 + 3 + 3x + 3x + x + x = 84

Combine like terms: -9 + -9 = -18
-18 + 3 + 3 + 3x + 3x + x + x = 84

Combine like terms: -18 + 3 = -15
-15 + 3 + 3x + 3x + x + x = 84

Combine like terms: -15 + 3 = -12
-12 + 3x + 3x + x + x = 84

Combine like terms: 3x + 3x = 6x
-12 + 6x + x + x = 84

Combine like terms: 6x + x = 7x
-12 + 7x + x = 84

Combine like terms: 7x + x = 8x
-12 + 8x = 84

Solving
-12 + 8x = 84

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 8x = 84 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = 84 + 12
8x = 84 + 12

Combine like terms: 84 + 12 = 96
8x = 96

Divide each side by '8'.
x = 12

Simplifying
x = 12

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