13.82+0.09(x+3)=14.32-0.08x

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Solution for 13.82+0.09(x+3)=14.32-0.08x equation: 


Simplifying
13.82 + 0.09(x + 3) = 14.32 + -0.08x

Reorder the terms:
13.82 + 0.09(3 + x) = 14.32 + -0.08x
13.82 + (3 * 0.09 + x * 0.09) = 14.32 + -0.08x
13.82 + (0.27 + 0.09x) = 14.32 + -0.08x

Combine like terms: 13.82 + 0.27 = 14.09
14.09 + 0.09x = 14.32 + -0.08x

Solving
14.09 + 0.09x = 14.32 + -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.
14.09 + 0.09x + 0.08x = 14.32 + -0.08x + 0.08x

Combine like terms: 0.09x + 0.08x = 0.17x
14.09 + 0.17x = 14.32 + -0.08x + 0.08x

Combine like terms: -0.08x + 0.08x = 0.00
14.09 + 0.17x = 14.32 + 0.00
14.09 + 0.17x = 14.32

Add '-14.09' to each side of the equation.
14.09 + -14.09 + 0.17x = 14.32 + -14.09

Combine like terms: 14.09 + -14.09 = 0.00
0.00 + 0.17x = 14.32 + -14.09
0.17x = 14.32 + -14.09

Combine like terms: 14.32 + -14.09 = 0.23
0.17x = 0.23

Divide each side by '0.17'.
x = 1.352941176

Simplifying
x = 1.352941176

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