x*0.20=30+[(x-150)*0.05]

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Solution for x*0.20=30+[(x-150)*0.05] equation: 


Simplifying
x * 0.20 = 30 + [(x + -150) * 0.05]

Reorder the terms for easier multiplication:
0.20x = 30 + [(x + -150) * 0.05]

Reorder the terms:
0.20x = 30 + [(-150 + x) * 0.05]

Reorder the terms for easier multiplication:
0.20x = 30 + [0.05(-150 + x)]
0.20x = 30 + [(-150 * 0.05 + x * 0.05)]
0.20x = 30 + [(-7.5 + 0.05x)]
0.20x = 30 + [-7.5 + 0.05x]

Remove brackets around [-7.5 + 0.05x]
0.20x = 30 + -7.5 + 0.05x

Combine like terms: 30 + -7.5 = 22.5
0.20x = 22.5 + 0.05x

Solving
0.20x = 22.5 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
0.20x + -0.05x = 22.5 + 0.05x + -0.05x

Combine like terms: 0.20x + -0.05x = 0.15x
0.15x = 22.5 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
0.15x = 22.5 + 0.00
0.15x = 22.5

Divide each side by '0.15'.
x = 150

Simplifying
x = 150

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