3(x-3)+12=2(x+5)

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Solution for 3(x-3)+12=2(x+5) equation:


Simplifying
3(x + -3) + 12 = 2(x + 5)

Reorder the terms:
3(-3 + x) + 12 = 2(x + 5)
(-3 * 3 + x * 3) + 12 = 2(x + 5)
(-9 + 3x) + 12 = 2(x + 5)

Reorder the terms:
-9 + 12 + 3x = 2(x + 5)

Combine like terms: -9 + 12 = 3
3 + 3x = 2(x + 5)

Reorder the terms:
3 + 3x = 2(5 + x)
3 + 3x = (5 * 2 + x * 2)
3 + 3x = (10 + 2x)

Solving
3 + 3x = 10 + 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.
3 + 3x + -2x = 10 + 2x + -2x

Combine like terms: 3x + -2x = 1x
3 + 1x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + 1x = 10 + 0
3 + 1x = 10

Add '-3' to each side of the equation.
3 + -3 + 1x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 10 + -3
1x = 10 + -3

Combine like terms: 10 + -3 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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