12.94+0.09(x+3)=13.96-0.16x

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Solution for 12.94+0.09(x+3)=13.96-0.16x equation: 


Simplifying
12.94 + 0.09(x + 3) = 13.96 + -0.16x

Reorder the terms:
12.94 + 0.09(3 + x) = 13.96 + -0.16x
12.94 + (3 * 0.09 + x * 0.09) = 13.96 + -0.16x
12.94 + (0.27 + 0.09x) = 13.96 + -0.16x

Combine like terms: 12.94 + 0.27 = 13.21
13.21 + 0.09x = 13.96 + -0.16x

Solving
13.21 + 0.09x = 13.96 + -0.16x

Solving for variable 'x'.

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

Add '0.16x' to each side of the equation.
13.21 + 0.09x + 0.16x = 13.96 + -0.16x + 0.16x

Combine like terms: 0.09x + 0.16x = 0.25x
13.21 + 0.25x = 13.96 + -0.16x + 0.16x

Combine like terms: -0.16x + 0.16x = 0.00
13.21 + 0.25x = 13.96 + 0.00
13.21 + 0.25x = 13.96

Add '-13.21' to each side of the equation.
13.21 + -13.21 + 0.25x = 13.96 + -13.21

Combine like terms: 13.21 + -13.21 = 0.00
0.00 + 0.25x = 13.96 + -13.21
0.25x = 13.96 + -13.21

Combine like terms: 13.96 + -13.21 = 0.75
0.25x = 0.75

Divide each side by '0.25'.
x = 3

Simplifying
x = 3

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