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

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


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

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

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

Reorder the terms:
6 + -8 + 3x + 4x = 16

Combine like terms: 6 + -8 = -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 = 18
7x = 18

Divide each side by '7'.
x = 2.571428571

Simplifying
x = 2.571428571

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