12.87+0.09(x+3)=13.62-0.15x

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Solution for 12.87+0.09(x+3)=13.62-0.15x equation: 


Simplifying
12.87 + 0.09(x + 3) = 13.62 + -0.15x

Reorder the terms:
12.87 + 0.09(3 + x) = 13.62 + -0.15x
12.87 + (3 * 0.09 + x * 0.09) = 13.62 + -0.15x
12.87 + (0.27 + 0.09x) = 13.62 + -0.15x

Combine like terms: 12.87 + 0.27 = 13.14
13.14 + 0.09x = 13.62 + -0.15x

Solving
13.14 + 0.09x = 13.62 + -0.15x

Solving for variable 'x'.

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

Add '0.15x' to each side of the equation.
13.14 + 0.09x + 0.15x = 13.62 + -0.15x + 0.15x

Combine like terms: 0.09x + 0.15x = 0.24x
13.14 + 0.24x = 13.62 + -0.15x + 0.15x

Combine like terms: -0.15x + 0.15x = 0.00
13.14 + 0.24x = 13.62 + 0.00
13.14 + 0.24x = 13.62

Add '-13.14' to each side of the equation.
13.14 + -13.14 + 0.24x = 13.62 + -13.14

Combine like terms: 13.14 + -13.14 = 0.00
0.00 + 0.24x = 13.62 + -13.14
0.24x = 13.62 + -13.14

Combine like terms: 13.62 + -13.14 = 0.48
0.24x = 0.48

Divide each side by '0.24'.
x = 2

Simplifying
x = 2

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