x+2(3x-4)+5x=16

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Solution for x+2(3x-4)+5x=16 equation:


Simplifying
x + 2(3x + -4) + 5x = 16

Reorder the terms:
x + 2(-4 + 3x) + 5x = 16
x + (-4 * 2 + 3x * 2) + 5x = 16
x + (-8 + 6x) + 5x = 16

Reorder the terms:
-8 + x + 6x + 5x = 16

Combine like terms: x + 6x = 7x
-8 + 7x + 5x = 16

Combine like terms: 7x + 5x = 12x
-8 + 12x = 16

Solving
-8 + 12x = 16

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 12x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 12x = 16 + 8
12x = 16 + 8

Combine like terms: 16 + 8 = 24
12x = 24

Divide each side by '12'.
x = 2

Simplifying
x = 2

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