-16+3(x+12)=5(x-3)

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Solution for -16+3(x+12)=5(x-3) equation:


Simplifying
-16 + 3(x + 12) = 5(x + -3)

Reorder the terms:
-16 + 3(12 + x) = 5(x + -3)
-16 + (12 * 3 + x * 3) = 5(x + -3)
-16 + (36 + 3x) = 5(x + -3)

Combine like terms: -16 + 36 = 20
20 + 3x = 5(x + -3)

Reorder the terms:
20 + 3x = 5(-3 + x)
20 + 3x = (-3 * 5 + x * 5)
20 + 3x = (-15 + 5x)

Solving
20 + 3x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
20 + 3x + -5x = -15 + 5x + -5x

Combine like terms: 3x + -5x = -2x
20 + -2x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
20 + -2x = -15 + 0
20 + -2x = -15

Add '-20' to each side of the equation.
20 + -20 + -2x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -15 + -20
-2x = -15 + -20

Combine like terms: -15 + -20 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5

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