13.96+0.11(x+3)=14.71-0.07x

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Solution for 13.96+0.11(x+3)=14.71-0.07x equation:


Simplifying
13.96 + 0.11(x + 3) = 14.71 + -0.07x

Reorder the terms:
13.96 + 0.11(3 + x) = 14.71 + -0.07x
13.96 + (3 * 0.11 + x * 0.11) = 14.71 + -0.07x
13.96 + (0.33 + 0.11x) = 14.71 + -0.07x

Combine like terms: 13.96 + 0.33 = 14.29
14.29 + 0.11x = 14.71 + -0.07x

Solving
14.29 + 0.11x = 14.71 + -0.07x

Solving for variable 'x'.

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

Add '0.07x' to each side of the equation.
14.29 + 0.11x + 0.07x = 14.71 + -0.07x + 0.07x

Combine like terms: 0.11x + 0.07x = 0.18x
14.29 + 0.18x = 14.71 + -0.07x + 0.07x

Combine like terms: -0.07x + 0.07x = 0.00
14.29 + 0.18x = 14.71 + 0.00
14.29 + 0.18x = 14.71

Add '-14.29' to each side of the equation.
14.29 + -14.29 + 0.18x = 14.71 + -14.29

Combine like terms: 14.29 + -14.29 = 0.00
0.00 + 0.18x = 14.71 + -14.29
0.18x = 14.71 + -14.29

Combine like terms: 14.71 + -14.29 = 0.42
0.18x = 0.42

Divide each side by '0.18'.
x = 2.333333333

Simplifying
x = 2.333333333

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