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

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


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

Reorder the terms:
2(3 + x) + 3(4 + -2x) = 16
(3 * 2 + x * 2) + 3(4 + -2x) = 16
(6 + 2x) + 3(4 + -2x) = 16
6 + 2x + (4 * 3 + -2x * 3) = 16
6 + 2x + (12 + -6x) = 16

Reorder the terms:
6 + 12 + 2x + -6x = 16

Combine like terms: 6 + 12 = 18
18 + 2x + -6x = 16

Combine like terms: 2x + -6x = -4x
18 + -4x = 16

Solving
18 + -4x = 16

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -4x = 16 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = 16 + -18
-4x = 16 + -18

Combine like terms: 16 + -18 = -2
-4x = -2

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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