3(x-4)+3=6-2x

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Solution for 3(x-4)+3=6-2x equation:


Simplifying
3(x + -4) + 3 = 6 + -2x

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

Reorder the terms:
-12 + 3 + 3x = 6 + -2x

Combine like terms: -12 + 3 = -9
-9 + 3x = 6 + -2x

Solving
-9 + 3x = 6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 3x + 2x = 6 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 5x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 5x = 6 + 0
-9 + 5x = 6

Add '9' to each side of the equation.
-9 + 9 + 5x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 6 + 9
5x = 6 + 9

Combine like terms: 6 + 9 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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