4(0.5x+0.25)+2=2(4x+24)

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Solution for 4(0.5x+0.25)+2=2(4x+24) equation:


Simplifying
4(0.5x + 0.25) + 2 = 2(4x + 24)

Reorder the terms:
4(0.25 + 0.5x) + 2 = 2(4x + 24)
(0.25 * 4 + 0.5x * 4) + 2 = 2(4x + 24)
(1 + 2x) + 2 = 2(4x + 24)

Reorder the terms:
1 + 2 + 2x = 2(4x + 24)

Combine like terms: 1 + 2 = 3
3 + 2x = 2(4x + 24)

Reorder the terms:
3 + 2x = 2(24 + 4x)
3 + 2x = (24 * 2 + 4x * 2)
3 + 2x = (48 + 8x)

Solving
3 + 2x = 48 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 2x + -8x = 48 + 8x + -8x

Combine like terms: 2x + -8x = -6x
3 + -6x = 48 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + -6x = 48 + 0
3 + -6x = 48

Add '-3' to each side of the equation.
3 + -3 + -6x = 48 + -3

Combine like terms: 3 + -3 = 0
0 + -6x = 48 + -3
-6x = 48 + -3

Combine like terms: 48 + -3 = 45
-6x = 45

Divide each side by '-6'.
x = -7.5

Simplifying
x = -7.5

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