15+2(x-3)-12=5-3(x+7)

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Solution for 15+2(x-3)-12=5-3(x+7) equation:


Simplifying
15 + 2(x + -3) + -12 = 5 + -3(x + 7)

Reorder the terms:
15 + 2(-3 + x) + -12 = 5 + -3(x + 7)
15 + (-3 * 2 + x * 2) + -12 = 5 + -3(x + 7)
15 + (-6 + 2x) + -12 = 5 + -3(x + 7)

Reorder the terms:
15 + -6 + -12 + 2x = 5 + -3(x + 7)

Combine like terms: 15 + -6 = 9
9 + -12 + 2x = 5 + -3(x + 7)

Combine like terms: 9 + -12 = -3
-3 + 2x = 5 + -3(x + 7)

Reorder the terms:
-3 + 2x = 5 + -3(7 + x)
-3 + 2x = 5 + (7 * -3 + x * -3)
-3 + 2x = 5 + (-21 + -3x)

Combine like terms: 5 + -21 = -16
-3 + 2x = -16 + -3x

Solving
-3 + 2x = -16 + -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.
-3 + 2x + 3x = -16 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-3 + 5x = -16 + -3x + 3x

Combine like terms: -3x + 3x = 0
-3 + 5x = -16 + 0
-3 + 5x = -16

Add '3' to each side of the equation.
-3 + 3 + 5x = -16 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = -16 + 3
5x = -16 + 3

Combine like terms: -16 + 3 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6

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