13.74+0.13(x+3)=14.24-0.09x

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Solution for 13.74+0.13(x+3)=14.24-0.09x equation: 


Simplifying
13.74 + 0.13(x + 3) = 14.24 + -0.09x

Reorder the terms:
13.74 + 0.13(3 + x) = 14.24 + -0.09x
13.74 + (3 * 0.13 + x * 0.13) = 14.24 + -0.09x
13.74 + (0.39 + 0.13x) = 14.24 + -0.09x

Combine like terms: 13.74 + 0.39 = 14.13
14.13 + 0.13x = 14.24 + -0.09x

Solving
14.13 + 0.13x = 14.24 + -0.09x

Solving for variable 'x'.

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

Add '0.09x' to each side of the equation.
14.13 + 0.13x + 0.09x = 14.24 + -0.09x + 0.09x

Combine like terms: 0.13x + 0.09x = 0.22x
14.13 + 0.22x = 14.24 + -0.09x + 0.09x

Combine like terms: -0.09x + 0.09x = 0.00
14.13 + 0.22x = 14.24 + 0.00
14.13 + 0.22x = 14.24

Add '-14.13' to each side of the equation.
14.13 + -14.13 + 0.22x = 14.24 + -14.13

Combine like terms: 14.13 + -14.13 = 0.00
0.00 + 0.22x = 14.24 + -14.13
0.22x = 14.24 + -14.13

Combine like terms: 14.24 + -14.13 = 0.11
0.22x = 0.11

Divide each side by '0.22'.
x = 0.5

Simplifying
x = 0.5

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