16=2x+3(x-13)

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Solution for 16=2x+3(x-13) equation:


Simplifying
16 = 2x + 3(x + -13)

Reorder the terms:
16 = 2x + 3(-13 + x)
16 = 2x + (-13 * 3 + x * 3)
16 = 2x + (-39 + 3x)

Reorder the terms:
16 = -39 + 2x + 3x

Combine like terms: 2x + 3x = 5x
16 = -39 + 5x

Solving
16 = -39 + 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 + -5x = -39 + 5x + -5x

Combine like terms: 5x + -5x = 0
16 + -5x = -39 + 0
16 + -5x = -39

Add '-16' to each side of the equation.
16 + -16 + -5x = -39 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -39 + -16
-5x = -39 + -16

Combine like terms: -39 + -16 = -55
-5x = -55

Divide each side by '-5'.
x = 11

Simplifying
x = 11

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