3x-16=5(x-6)

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Solution for 3x-16=5(x-6) equation:


Simplifying
3x + -16 = 5(x + -6)

Reorder the terms:
-16 + 3x = 5(x + -6)

Reorder the terms:
-16 + 3x = 5(-6 + x)
-16 + 3x = (-6 * 5 + x * 5)
-16 + 3x = (-30 + 5x)

Solving
-16 + 3x = -30 + 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.
-16 + 3x + -5x = -30 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-16 + -2x = -30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-16 + -2x = -30 + 0
-16 + -2x = -30

Add '16' to each side of the equation.
-16 + 16 + -2x = -30 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -30 + 16
-2x = -30 + 16

Combine like terms: -30 + 16 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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