13.76+.11(x+3)=14.51-.09x

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Solution for 13.76+.11(x+3)=14.51-.09x equation: 


Simplifying
13.76 + 0.11(x + 3) = 14.51 + -0.09x

Reorder the terms:
13.76 + 0.11(3 + x) = 14.51 + -0.09x
13.76 + (3 * 0.11 + x * 0.11) = 14.51 + -0.09x
13.76 + (0.33 + 0.11x) = 14.51 + -0.09x

Combine like terms: 13.76 + 0.33 = 14.09
14.09 + 0.11x = 14.51 + -0.09x

Solving
14.09 + 0.11x = 14.51 + -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.
14.09 + 0.11x + 0.09x = 14.51 + -0.09x + 0.09x

Combine like terms: 0.11x + 0.09x = 0.2x
14.09 + 0.2x = 14.51 + -0.09x + 0.09x

Combine like terms: -0.09x + 0.09x = 0.00
14.09 + 0.2x = 14.51 + 0.00
14.09 + 0.2x = 14.51

Add '-14.09' to each side of the equation.
14.09 + -14.09 + 0.2x = 14.51 + -14.09

Combine like terms: 14.09 + -14.09 = 0.00
0.00 + 0.2x = 14.51 + -14.09
0.2x = 14.51 + -14.09

Combine like terms: 14.51 + -14.09 = 0.42
0.2x = 0.42

Divide each side by '0.2'.
x = 2.1

Simplifying
x = 2.1

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