0.5(x+2)+2=0.25(8x-60)-3

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Solution for 0.5(x+2)+2=0.25(8x-60)-3 equation:


Simplifying
0.5(x + 2) + 2 = 0.25(8x + -60) + -3

Reorder the terms:
0.5(2 + x) + 2 = 0.25(8x + -60) + -3
(2 * 0.5 + x * 0.5) + 2 = 0.25(8x + -60) + -3
(1 + 0.5x) + 2 = 0.25(8x + -60) + -3

Reorder the terms:
1 + 2 + 0.5x = 0.25(8x + -60) + -3

Combine like terms: 1 + 2 = 3
3 + 0.5x = 0.25(8x + -60) + -3

Reorder the terms:
3 + 0.5x = 0.25(-60 + 8x) + -3
3 + 0.5x = (-60 * 0.25 + 8x * 0.25) + -3
3 + 0.5x = (-15 + 2x) + -3

Reorder the terms:
3 + 0.5x = -15 + -3 + 2x

Combine like terms: -15 + -3 = -18
3 + 0.5x = -18 + 2x

Solving
3 + 0.5x = -18 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 0.5x + -2x = -18 + 2x + -2x

Combine like terms: 0.5x + -2x = -1.5x
3 + -1.5x = -18 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -1.5x = -18 + 0
3 + -1.5x = -18

Add '-3' to each side of the equation.
3 + -3 + -1.5x = -18 + -3

Combine like terms: 3 + -3 = 0
0 + -1.5x = -18 + -3
-1.5x = -18 + -3

Combine like terms: -18 + -3 = -21
-1.5x = -21

Divide each side by '-1.5'.
x = 14

Simplifying
x = 14

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