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

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


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

Reorder the terms:
3(4 + x) + 2(2x + -5) = 16
(4 * 3 + x * 3) + 2(2x + -5) = 16
(12 + 3x) + 2(2x + -5) = 16

Reorder the terms:
12 + 3x + 2(-5 + 2x) = 16
12 + 3x + (-5 * 2 + 2x * 2) = 16
12 + 3x + (-10 + 4x) = 16

Reorder the terms:
12 + -10 + 3x + 4x = 16

Combine like terms: 12 + -10 = 2
2 + 3x + 4x = 16

Combine like terms: 3x + 4x = 7x
2 + 7x = 16

Solving
2 + 7x = 16

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 7x = 16 + -2

Combine like terms: 2 + -2 = 0
0 + 7x = 16 + -2
7x = 16 + -2

Combine like terms: 16 + -2 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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