76-(x-4)=(2x+18)0.5

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Solution for 76-(x-4)=(2x+18)0.5 equation:


Simplifying
76 + -1(x + -4) = (2x + 18) * 0.5

Reorder the terms:
76 + -1(-4 + x) = (2x + 18) * 0.5
76 + (-4 * -1 + x * -1) = (2x + 18) * 0.5
76 + (4 + -1x) = (2x + 18) * 0.5

Combine like terms: 76 + 4 = 80
80 + -1x = (2x + 18) * 0.5

Reorder the terms:
80 + -1x = (18 + 2x) * 0.5

Reorder the terms for easier multiplication:
80 + -1x = 0.5(18 + 2x)
80 + -1x = (18 * 0.5 + 2x * 0.5)
80 + -1x = (9 + 1x)

Solving
80 + -1x = 9 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
80 + -1x + -1x = 9 + 1x + -1x

Combine like terms: -1x + -1x = -2x
80 + -2x = 9 + 1x + -1x

Combine like terms: 1x + -1x = 0
80 + -2x = 9 + 0
80 + -2x = 9

Add '-80' to each side of the equation.
80 + -80 + -2x = 9 + -80

Combine like terms: 80 + -80 = 0
0 + -2x = 9 + -80
-2x = 9 + -80

Combine like terms: 9 + -80 = -71
-2x = -71

Divide each side by '-2'.
x = 35.5

Simplifying
x = 35.5

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