0.5x+5=4(0.5x-5)

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Solution for 0.5x+5=4(0.5x-5) equation:


Simplifying
0.5x + 5 = 4(0.5x + -5)

Reorder the terms:
5 + 0.5x = 4(0.5x + -5)

Reorder the terms:
5 + 0.5x = 4(-5 + 0.5x)
5 + 0.5x = (-5 * 4 + 0.5x * 4)
5 + 0.5x = (-20 + 2x)

Solving
5 + 0.5x = -20 + 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.
5 + 0.5x + -2x = -20 + 2x + -2x

Combine like terms: 0.5x + -2x = -1.5x
5 + -1.5x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
5 + -1.5x = -20 + 0
5 + -1.5x = -20

Add '-5' to each side of the equation.
5 + -5 + -1.5x = -20 + -5

Combine like terms: 5 + -5 = 0
0 + -1.5x = -20 + -5
-1.5x = -20 + -5

Combine like terms: -20 + -5 = -25
-1.5x = -25

Divide each side by '-1.5'.
x = 16.66666667

Simplifying
x = 16.66666667

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