.5(4x+12)-9+5=24+16-10

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Solution for .5(4x+12)-9+5=24+16-10 equation: 


Simplifying
0.5(4x + 12) + -9 + 5 = 24 + 16 + -10

Reorder the terms:
0.5(12 + 4x) + -9 + 5 = 24 + 16 + -10
(12 * 0.5 + 4x * 0.5) + -9 + 5 = 24 + 16 + -10
(6 + 2x) + -9 + 5 = 24 + 16 + -10

Reorder the terms:
6 + -9 + 5 + 2x = 24 + 16 + -10

Combine like terms: 6 + -9 = -3
-3 + 5 + 2x = 24 + 16 + -10

Combine like terms: -3 + 5 = 2
2 + 2x = 24 + 16 + -10

Combine like terms: 24 + 16 = 40
2 + 2x = 40 + -10

Combine like terms: 40 + -10 = 30
2 + 2x = 30

Solving
2 + 2x = 30

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 + 2x = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 2x = 30 + -2
2x = 30 + -2

Combine like terms: 30 + -2 = 28
2x = 28

Divide each side by '2'.
x = 14

Simplifying
x = 14

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