x=54+0.65(54-x)

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Solution for x=54+0.65(54-x) equation: 


Simplifying
x = 54 + 0.65(54 + -1x)
x = 54 + (54 * 0.65 + -1x * 0.65)
x = 54 + (35.1 + -0.65x)

Combine like terms: 54 + 35.1 = 89.1
x = 89.1 + -0.65x

Solving
x = 89.1 + -0.65x

Solving for variable 'x'.

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

Add '0.65x' to each side of the equation.
x + 0.65x = 89.1 + -0.65x + 0.65x

Combine like terms: x + 0.65x = 1.65x
1.65x = 89.1 + -0.65x + 0.65x

Combine like terms: -0.65x + 0.65x = 0.00
1.65x = 89.1 + 0.00
1.65x = 89.1

Divide each side by '1.65'.
x = 54

Simplifying
x = 54

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