20(.5x+.25)=2(3x+24)

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Solution for 20(.5x+.25)=2(3x+24) equation:


Simplifying
20(0.5x + 0.25) = 2(3x + 24)

Reorder the terms:
20(0.25 + 0.5x) = 2(3x + 24)
(0.25 * 20 + 0.5x * 20) = 2(3x + 24)
(5 + 10x) = 2(3x + 24)

Reorder the terms:
5 + 10x = 2(24 + 3x)
5 + 10x = (24 * 2 + 3x * 2)
5 + 10x = (48 + 6x)

Solving
5 + 10x = 48 + 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.
5 + 10x + -6x = 48 + 6x + -6x

Combine like terms: 10x + -6x = 4x
5 + 4x = 48 + 6x + -6x

Combine like terms: 6x + -6x = 0
5 + 4x = 48 + 0
5 + 4x = 48

Add '-5' to each side of the equation.
5 + -5 + 4x = 48 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 48 + -5
4x = 48 + -5

Combine like terms: 48 + -5 = 43
4x = 43

Divide each side by '4'.
x = 10.75

Simplifying
x = 10.75

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