13.89+.06(x+3)=14.64-.12x

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Solution for 13.89+.06(x+3)=14.64-.12x equation: 


Simplifying
13.89 + 0.06(x + 3) = 14.64 + -0.12x

Reorder the terms:
13.89 + 0.06(3 + x) = 14.64 + -0.12x
13.89 + (3 * 0.06 + x * 0.06) = 14.64 + -0.12x
13.89 + (0.18 + 0.06x) = 14.64 + -0.12x

Combine like terms: 13.89 + 0.18 = 14.07
14.07 + 0.06x = 14.64 + -0.12x

Solving
14.07 + 0.06x = 14.64 + -0.12x

Solving for variable 'x'.

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

Add '0.12x' to each side of the equation.
14.07 + 0.06x + 0.12x = 14.64 + -0.12x + 0.12x

Combine like terms: 0.06x + 0.12x = 0.18x
14.07 + 0.18x = 14.64 + -0.12x + 0.12x

Combine like terms: -0.12x + 0.12x = 0.00
14.07 + 0.18x = 14.64 + 0.00
14.07 + 0.18x = 14.64

Add '-14.07' to each side of the equation.
14.07 + -14.07 + 0.18x = 14.64 + -14.07

Combine like terms: 14.07 + -14.07 = 0.00
0.00 + 0.18x = 14.64 + -14.07
0.18x = 14.64 + -14.07

Combine like terms: 14.64 + -14.07 = 0.57
0.18x = 0.57

Divide each side by '0.18'.
x = 3.166666667

Simplifying
x = 3.166666667

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