14.05+.11(x+3)=14.55-.13x

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Solution for 14.05+.11(x+3)=14.55-.13x equation: 


Simplifying
14.05 + 0.11(x + 3) = 14.55 + -0.13x

Reorder the terms:
14.05 + 0.11(3 + x) = 14.55 + -0.13x
14.05 + (3 * 0.11 + x * 0.11) = 14.55 + -0.13x
14.05 + (0.33 + 0.11x) = 14.55 + -0.13x

Combine like terms: 14.05 + 0.33 = 14.38
14.38 + 0.11x = 14.55 + -0.13x

Solving
14.38 + 0.11x = 14.55 + -0.13x

Solving for variable 'x'.

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

Add '0.13x' to each side of the equation.
14.38 + 0.11x + 0.13x = 14.55 + -0.13x + 0.13x

Combine like terms: 0.11x + 0.13x = 0.24x
14.38 + 0.24x = 14.55 + -0.13x + 0.13x

Combine like terms: -0.13x + 0.13x = 0.00
14.38 + 0.24x = 14.55 + 0.00
14.38 + 0.24x = 14.55

Add '-14.38' to each side of the equation.
14.38 + -14.38 + 0.24x = 14.55 + -14.38

Combine like terms: 14.38 + -14.38 = 0.00
0.00 + 0.24x = 14.55 + -14.38
0.24x = 14.55 + -14.38

Combine like terms: 14.55 + -14.38 = 0.17
0.24x = 0.17

Divide each side by '0.24'.
x = 0.7083333333

Simplifying
x = 0.7083333333

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