2x+16=5(3x-2)

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Solution for 2x+16=5(3x-2) equation:


Simplifying
2x + 16 = 5(3x + -2)

Reorder the terms:
16 + 2x = 5(3x + -2)

Reorder the terms:
16 + 2x = 5(-2 + 3x)
16 + 2x = (-2 * 5 + 3x * 5)
16 + 2x = (-10 + 15x)

Solving
16 + 2x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
16 + 2x + -15x = -10 + 15x + -15x

Combine like terms: 2x + -15x = -13x
16 + -13x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
16 + -13x = -10 + 0
16 + -13x = -10

Add '-16' to each side of the equation.
16 + -16 + -13x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + -13x = -10 + -16
-13x = -10 + -16

Combine like terms: -10 + -16 = -26
-13x = -26

Divide each side by '-13'.
x = 2

Simplifying
x = 2

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