12.61+0.09(x+3)=13.11-0.07x

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Solution for 12.61+0.09(x+3)=13.11-0.07x equation: 


Simplifying
12.61 + 0.09(x + 3) = 13.11 + -0.07x

Reorder the terms:
12.61 + 0.09(3 + x) = 13.11 + -0.07x
12.61 + (3 * 0.09 + x * 0.09) = 13.11 + -0.07x
12.61 + (0.27 + 0.09x) = 13.11 + -0.07x

Combine like terms: 12.61 + 0.27 = 12.88
12.88 + 0.09x = 13.11 + -0.07x

Solving
12.88 + 0.09x = 13.11 + -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.
12.88 + 0.09x + 0.07x = 13.11 + -0.07x + 0.07x

Combine like terms: 0.09x + 0.07x = 0.16x
12.88 + 0.16x = 13.11 + -0.07x + 0.07x

Combine like terms: -0.07x + 0.07x = 0.00
12.88 + 0.16x = 13.11 + 0.00
12.88 + 0.16x = 13.11

Add '-12.88' to each side of the equation.
12.88 + -12.88 + 0.16x = 13.11 + -12.88

Combine like terms: 12.88 + -12.88 = 0.00
0.00 + 0.16x = 13.11 + -12.88
0.16x = 13.11 + -12.88

Combine like terms: 13.11 + -12.88 = 0.23
0.16x = 0.23

Divide each side by '0.16'.
x = 1.4375

Simplifying
x = 1.4375

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