3(x-5)-12=2(x+6)+3

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Solution for 3(x-5)-12=2(x+6)+3 equation:


Simplifying
3(x + -5) + -12 = 2(x + 6) + 3

Reorder the terms:
3(-5 + x) + -12 = 2(x + 6) + 3
(-5 * 3 + x * 3) + -12 = 2(x + 6) + 3
(-15 + 3x) + -12 = 2(x + 6) + 3

Reorder the terms:
-15 + -12 + 3x = 2(x + 6) + 3

Combine like terms: -15 + -12 = -27
-27 + 3x = 2(x + 6) + 3

Reorder the terms:
-27 + 3x = 2(6 + x) + 3
-27 + 3x = (6 * 2 + x * 2) + 3
-27 + 3x = (12 + 2x) + 3

Reorder the terms:
-27 + 3x = 12 + 3 + 2x

Combine like terms: 12 + 3 = 15
-27 + 3x = 15 + 2x

Solving
-27 + 3x = 15 + 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.
-27 + 3x + -2x = 15 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-27 + 1x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 1x = 15 + 0
-27 + 1x = 15

Add '27' to each side of the equation.
-27 + 27 + 1x = 15 + 27

Combine like terms: -27 + 27 = 0
0 + 1x = 15 + 27
1x = 15 + 27

Combine like terms: 15 + 27 = 42
1x = 42

Divide each side by '1'.
x = 42

Simplifying
x = 42

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