12.41+0.11(x+3)=13.16-0.08x

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Solution for 12.41+0.11(x+3)=13.16-0.08x equation:


Simplifying
12.41 + 0.11(x + 3) = 13.16 + -0.08x

Reorder the terms:
12.41 + 0.11(3 + x) = 13.16 + -0.08x
12.41 + (3 * 0.11 + x * 0.11) = 13.16 + -0.08x
12.41 + (0.33 + 0.11x) = 13.16 + -0.08x

Combine like terms: 12.41 + 0.33 = 12.74
12.74 + 0.11x = 13.16 + -0.08x

Solving
12.74 + 0.11x = 13.16 + -0.08x

Solving for variable 'x'.

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

Add '0.08x' to each side of the equation.
12.74 + 0.11x + 0.08x = 13.16 + -0.08x + 0.08x

Combine like terms: 0.11x + 0.08x = 0.19x
12.74 + 0.19x = 13.16 + -0.08x + 0.08x

Combine like terms: -0.08x + 0.08x = 0.00
12.74 + 0.19x = 13.16 + 0.00
12.74 + 0.19x = 13.16

Add '-12.74' to each side of the equation.
12.74 + -12.74 + 0.19x = 13.16 + -12.74

Combine like terms: 12.74 + -12.74 = 0.00
0.00 + 0.19x = 13.16 + -12.74
0.19x = 13.16 + -12.74

Combine like terms: 13.16 + -12.74 = 0.42
0.19x = 0.42

Divide each side by '0.19'.
x = 2.210526316

Simplifying
x = 2.210526316

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