100x=0.8(5+5x)+4x-20

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Solution for 100x=0.8(5+5x)+4x-20 equation:


Simplifying
100x = 0.8(5 + 5x) + 4x + -20
100x = (5 * 0.8 + 5x * 0.8) + 4x + -20
100x = (4 + 4x) + 4x + -20

Reorder the terms:
100x = 4 + -20 + 4x + 4x

Combine like terms: 4 + -20 = -16
100x = -16 + 4x + 4x

Combine like terms: 4x + 4x = 8x
100x = -16 + 8x

Solving
100x = -16 + 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.
100x + -8x = -16 + 8x + -8x

Combine like terms: 100x + -8x = 92x
92x = -16 + 8x + -8x

Combine like terms: 8x + -8x = 0
92x = -16 + 0
92x = -16

Divide each side by '92'.
x = -0.1739130435

Simplifying
x = -0.1739130435

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