3(x-3)+3(x+7)=6x-3x

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Solution for 3(x-3)+3(x+7)=6x-3x equation:


Simplifying
3(x + -3) + 3(x + 7) = 6x + -3x

Reorder the terms:
3(-3 + x) + 3(x + 7) = 6x + -3x
(-3 * 3 + x * 3) + 3(x + 7) = 6x + -3x
(-9 + 3x) + 3(x + 7) = 6x + -3x

Reorder the terms:
-9 + 3x + 3(7 + x) = 6x + -3x
-9 + 3x + (7 * 3 + x * 3) = 6x + -3x
-9 + 3x + (21 + 3x) = 6x + -3x

Reorder the terms:
-9 + 21 + 3x + 3x = 6x + -3x

Combine like terms: -9 + 21 = 12
12 + 3x + 3x = 6x + -3x

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

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

Solving
12 + 6x = 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.
12 + 6x + -3x = 3x + -3x

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

Combine like terms: 3x + -3x = 0
12 + 3x = 0

Add '-12' to each side of the equation.
12 + -12 + 3x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 0 + -12
3x = 0 + -12

Combine like terms: 0 + -12 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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