900+.010x=1200+0.15(x-8000)

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Solution for 900+.010x=1200+0.15(x-8000) equation:


Simplifying
900 + 0.010x = 1200 + 0.15(x + -8000)

Reorder the terms:
900 + 0.010x = 1200 + 0.15(-8000 + x)
900 + 0.010x = 1200 + (-8000 * 0.15 + x * 0.15)
900 + 0.010x = 1200 + (-1200 + 0.15x)

Combine like terms: 1200 + -1200 = 0
900 + 0.010x = 0 + 0.15x
900 + 0.010x = 0.15x

Solving
900 + 0.010x = 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
900 + 0.010x + -0.15x = 0.15x + -0.15x

Combine like terms: 0.010x + -0.15x = -0.14x
900 + -0.14x = 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
900 + -0.14x = 0.00

Add '-900' to each side of the equation.
900 + -900 + -0.14x = 0.00 + -900

Combine like terms: 900 + -900 = 0
0 + -0.14x = 0.00 + -900
-0.14x = 0.00 + -900

Combine like terms: 0.00 + -900 = -900
-0.14x = -900

Divide each side by '-0.14'.
x = 6428.571429

Simplifying
x = 6428.571429

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