9=x+.08(10-x)

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Solution for 9=x+.08(10-x) equation:


Simplifying
9 = x + 0.08(10 + -1x)
9 = x + (10 * 0.08 + -1x * 0.08)
9 = x + (0.8 + -0.08x)

Reorder the terms:
9 = 0.8 + x + -0.08x

Combine like terms: x + -0.08x = 0.92x
9 = 0.8 + 0.92x

Solving
9 = 0.8 + 0.92x

Solving for variable 'x'.

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

Add '-0.92x' to each side of the equation.
9 + -0.92x = 0.8 + 0.92x + -0.92x

Combine like terms: 0.92x + -0.92x = 0.00
9 + -0.92x = 0.8 + 0.00
9 + -0.92x = 0.8

Add '-9' to each side of the equation.
9 + -9 + -0.92x = 0.8 + -9

Combine like terms: 9 + -9 = 0
0 + -0.92x = 0.8 + -9
-0.92x = 0.8 + -9

Combine like terms: 0.8 + -9 = -8.2
-0.92x = -8.2

Divide each side by '-0.92'.
x = 8.913043478

Simplifying
x = 8.913043478

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