13.48+0.11(x+3)=14.23-0.13x

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Solution for 13.48+0.11(x+3)=14.23-0.13x equation: 


Simplifying
13.48 + 0.11(x + 3) = 14.23 + -0.13x

Reorder the terms:
13.48 + 0.11(3 + x) = 14.23 + -0.13x
13.48 + (3 * 0.11 + x * 0.11) = 14.23 + -0.13x
13.48 + (0.33 + 0.11x) = 14.23 + -0.13x

Combine like terms: 13.48 + 0.33 = 13.81
13.81 + 0.11x = 14.23 + -0.13x

Solving
13.81 + 0.11x = 14.23 + -0.13x

Solving for variable 'x'.

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

Add '0.13x' to each side of the equation.
13.81 + 0.11x + 0.13x = 14.23 + -0.13x + 0.13x

Combine like terms: 0.11x + 0.13x = 0.24x
13.81 + 0.24x = 14.23 + -0.13x + 0.13x

Combine like terms: -0.13x + 0.13x = 0.00
13.81 + 0.24x = 14.23 + 0.00
13.81 + 0.24x = 14.23

Add '-13.81' to each side of the equation.
13.81 + -13.81 + 0.24x = 14.23 + -13.81

Combine like terms: 13.81 + -13.81 = 0.00
0.00 + 0.24x = 14.23 + -13.81
0.24x = 14.23 + -13.81

Combine like terms: 14.23 + -13.81 = 0.42
0.24x = 0.42

Divide each side by '0.24'.
x = 1.75

Simplifying
x = 1.75

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