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

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


Simplifying
12 + -1(3x + -5) = -2(x + 5)

Reorder the terms:
12 + -1(-5 + 3x) = -2(x + 5)
12 + (-5 * -1 + 3x * -1) = -2(x + 5)
12 + (5 + -3x) = -2(x + 5)

Combine like terms: 12 + 5 = 17
17 + -3x = -2(x + 5)

Reorder the terms:
17 + -3x = -2(5 + x)
17 + -3x = (5 * -2 + x * -2)
17 + -3x = (-10 + -2x)

Solving
17 + -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.
17 + -3x + 2x = -10 + -2x + 2x

Combine like terms: -3x + 2x = -1x
17 + -1x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
17 + -1x = -10 + 0
17 + -1x = -10

Add '-17' to each side of the equation.
17 + -17 + -1x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = -10 + -17
-1x = -10 + -17

Combine like terms: -10 + -17 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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