12.64+.12(x+3)=13.14-.14x

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Solution for 12.64+.12(x+3)=13.14-.14x equation: 


Simplifying
12.64 + 0.12(x + 3) = 13.14 + -0.14x

Reorder the terms:
12.64 + 0.12(3 + x) = 13.14 + -0.14x
12.64 + (3 * 0.12 + x * 0.12) = 13.14 + -0.14x
12.64 + (0.36 + 0.12x) = 13.14 + -0.14x

Combine like terms: 12.64 + 0.36 = 13
13 + 0.12x = 13.14 + -0.14x

Solving
13 + 0.12x = 13.14 + -0.14x

Solving for variable 'x'.

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

Add '0.14x' to each side of the equation.
13 + 0.12x + 0.14x = 13.14 + -0.14x + 0.14x

Combine like terms: 0.12x + 0.14x = 0.26x
13 + 0.26x = 13.14 + -0.14x + 0.14x

Combine like terms: -0.14x + 0.14x = 0.00
13 + 0.26x = 13.14 + 0.00
13 + 0.26x = 13.14

Add '-13' to each side of the equation.
13 + -13 + 0.26x = 13.14 + -13

Combine like terms: 13 + -13 = 0
0 + 0.26x = 13.14 + -13
0.26x = 13.14 + -13

Combine like terms: 13.14 + -13 = 0.14
0.26x = 0.14

Divide each side by '0.26'.
x = 0.5384615385

Simplifying
x = 0.5384615385

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