13.45+0.13(x+3)=13.95-0.16x

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Solution for 13.45+0.13(x+3)=13.95-0.16x equation: 


Simplifying
13.45 + 0.13(x + 3) = 13.95 + -0.16x

Reorder the terms:
13.45 + 0.13(3 + x) = 13.95 + -0.16x
13.45 + (3 * 0.13 + x * 0.13) = 13.95 + -0.16x
13.45 + (0.39 + 0.13x) = 13.95 + -0.16x

Combine like terms: 13.45 + 0.39 = 13.84
13.84 + 0.13x = 13.95 + -0.16x

Solving
13.84 + 0.13x = 13.95 + -0.16x

Solving for variable 'x'.

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

Add '0.16x' to each side of the equation.
13.84 + 0.13x + 0.16x = 13.95 + -0.16x + 0.16x

Combine like terms: 0.13x + 0.16x = 0.29x
13.84 + 0.29x = 13.95 + -0.16x + 0.16x

Combine like terms: -0.16x + 0.16x = 0.00
13.84 + 0.29x = 13.95 + 0.00
13.84 + 0.29x = 13.95

Add '-13.84' to each side of the equation.
13.84 + -13.84 + 0.29x = 13.95 + -13.84

Combine like terms: 13.84 + -13.84 = 0.00
0.00 + 0.29x = 13.95 + -13.84
0.29x = 13.95 + -13.84

Combine like terms: 13.95 + -13.84 = 0.11
0.29x = 0.11

Divide each side by '0.29'.
x = 0.3793103448

Simplifying
x = 0.3793103448

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