.9x+.10(80)=.80(x+80)

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Solution for .9x+.10(80)=.80(x+80) equation: 


Simplifying
0.9x + 0.10(80) = 0.80(x + 80)

Multiply 0.10 * 80
0.9x + 8 = 0.80(x + 80)

Reorder the terms:
8 + 0.9x = 0.80(x + 80)

Reorder the terms:
8 + 0.9x = 0.80(80 + x)
8 + 0.9x = (80 * 0.80 + x * 0.80)
8 + 0.9x = (64 + 0.80x)

Solving
8 + 0.9x = 64 + 0.80x

Solving for variable 'x'.

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

Add '-0.80x' to each side of the equation.
8 + 0.9x + -0.80x = 64 + 0.80x + -0.80x

Combine like terms: 0.9x + -0.80x = 0.1x
8 + 0.1x = 64 + 0.80x + -0.80x

Combine like terms: 0.80x + -0.80x = 0.00
8 + 0.1x = 64 + 0.00
8 + 0.1x = 64

Add '-8' to each side of the equation.
8 + -8 + 0.1x = 64 + -8

Combine like terms: 8 + -8 = 0
0 + 0.1x = 64 + -8
0.1x = 64 + -8

Combine like terms: 64 + -8 = 56
0.1x = 56

Divide each side by '0.1'.
x = 560

Simplifying
x = 560

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