13.62+.13(x+3)=14.37-.09x

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Solution for 13.62+.13(x+3)=14.37-.09x equation: 


Simplifying
13.62 + 0.13(x + 3) = 14.37 + -0.09x

Reorder the terms:
13.62 + 0.13(3 + x) = 14.37 + -0.09x
13.62 + (3 * 0.13 + x * 0.13) = 14.37 + -0.09x
13.62 + (0.39 + 0.13x) = 14.37 + -0.09x

Combine like terms: 13.62 + 0.39 = 14.01
14.01 + 0.13x = 14.37 + -0.09x

Solving
14.01 + 0.13x = 14.37 + -0.09x

Solving for variable 'x'.

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

Add '0.09x' to each side of the equation.
14.01 + 0.13x + 0.09x = 14.37 + -0.09x + 0.09x

Combine like terms: 0.13x + 0.09x = 0.22x
14.01 + 0.22x = 14.37 + -0.09x + 0.09x

Combine like terms: -0.09x + 0.09x = 0.00
14.01 + 0.22x = 14.37 + 0.00
14.01 + 0.22x = 14.37

Add '-14.01' to each side of the equation.
14.01 + -14.01 + 0.22x = 14.37 + -14.01

Combine like terms: 14.01 + -14.01 = 0.00
0.00 + 0.22x = 14.37 + -14.01
0.22x = 14.37 + -14.01

Combine like terms: 14.37 + -14.01 = 0.36
0.22x = 0.36

Divide each side by '0.22'.
x = 1.636363636

Simplifying
x = 1.636363636

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