0.08(x-100)=59.5-0.07x

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Solution for 0.08(x-100)=59.5-0.07x equation: 


Simplifying
0.08(x + -100) = 59.5 + -0.07x

Reorder the terms:
0.08(-100 + x) = 59.5 + -0.07x
(-100 * 0.08 + x * 0.08) = 59.5 + -0.07x
(-8 + 0.08x) = 59.5 + -0.07x

Solving
-8 + 0.08x = 59.5 + -0.07x

Solving for variable 'x'.

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

Add '0.07x' to each side of the equation.
-8 + 0.08x + 0.07x = 59.5 + -0.07x + 0.07x

Combine like terms: 0.08x + 0.07x = 0.15x
-8 + 0.15x = 59.5 + -0.07x + 0.07x

Combine like terms: -0.07x + 0.07x = 0.00
-8 + 0.15x = 59.5 + 0.00
-8 + 0.15x = 59.5

Add '8' to each side of the equation.
-8 + 8 + 0.15x = 59.5 + 8

Combine like terms: -8 + 8 = 0
0 + 0.15x = 59.5 + 8
0.15x = 59.5 + 8

Combine like terms: 59.5 + 8 = 67.5
0.15x = 67.5

Divide each side by '0.15'.
x = 450

Simplifying
x = 450

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