13=x+(50-x)(0.11)

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Solution for 13=x+(50-x)(0.11) equation:


Simplifying
13 = x + (50 + -1x)(0.11)

Reorder the terms for easier multiplication:
13 = x + 0.11(50 + -1x)
13 = x + (50 * 0.11 + -1x * 0.11)
13 = x + (5.5 + -0.11x)

Reorder the terms:
13 = 5.5 + x + -0.11x

Combine like terms: x + -0.11x = 0.89x
13 = 5.5 + 0.89x

Solving
13 = 5.5 + 0.89x

Solving for variable 'x'.

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

Add '-0.89x' to each side of the equation.
13 + -0.89x = 5.5 + 0.89x + -0.89x

Combine like terms: 0.89x + -0.89x = 0.00
13 + -0.89x = 5.5 + 0.00
13 + -0.89x = 5.5

Add '-13' to each side of the equation.
13 + -13 + -0.89x = 5.5 + -13

Combine like terms: 13 + -13 = 0
0 + -0.89x = 5.5 + -13
-0.89x = 5.5 + -13

Combine like terms: 5.5 + -13 = -7.5
-0.89x = -7.5

Divide each side by '-0.89'.
x = 8.426966292

Simplifying
x = 8.426966292

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