0.625(8X+24)+1=0.5(12X-2)+12

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Solution for 0.625(8X+24)+1=0.5(12X-2)+12 equation:


Simplifying
0.625(8X + 24) + 1 = 0.5(12X + -2) + 12

Reorder the terms:
0.625(24 + 8X) + 1 = 0.5(12X + -2) + 12
(24 * 0.625 + 8X * 0.625) + 1 = 0.5(12X + -2) + 12
(15 + 5X) + 1 = 0.5(12X + -2) + 12

Reorder the terms:
15 + 1 + 5X = 0.5(12X + -2) + 12

Combine like terms: 15 + 1 = 16
16 + 5X = 0.5(12X + -2) + 12

Reorder the terms:
16 + 5X = 0.5(-2 + 12X) + 12
16 + 5X = (-2 * 0.5 + 12X * 0.5) + 12
16 + 5X = (-1 + 6X) + 12

Reorder the terms:
16 + 5X = -1 + 12 + 6X

Combine like terms: -1 + 12 = 11
16 + 5X = 11 + 6X

Solving
16 + 5X = 11 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
16 + 5X + -6X = 11 + 6X + -6X

Combine like terms: 5X + -6X = -1X
16 + -1X = 11 + 6X + -6X

Combine like terms: 6X + -6X = 0
16 + -1X = 11 + 0
16 + -1X = 11

Add '-16' to each side of the equation.
16 + -16 + -1X = 11 + -16

Combine like terms: 16 + -16 = 0
0 + -1X = 11 + -16
-1X = 11 + -16

Combine like terms: 11 + -16 = -5
-1X = -5

Divide each side by '-1'.
X = 5

Simplifying
X = 5

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