15.93+.09(x+3)=16.43-.13x

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Solution for 15.93+.09(x+3)=16.43-.13x equation:


Simplifying
15.93 + 0.09(x + 3) = 16.43 + -0.13x

Reorder the terms:
15.93 + 0.09(3 + x) = 16.43 + -0.13x
15.93 + (3 * 0.09 + x * 0.09) = 16.43 + -0.13x
15.93 + (0.27 + 0.09x) = 16.43 + -0.13x

Combine like terms: 15.93 + 0.27 = 16.2
16.2 + 0.09x = 16.43 + -0.13x

Solving
16.2 + 0.09x = 16.43 + -0.13x

Solving for variable 'x'.

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

Add '0.13x' to each side of the equation.
16.2 + 0.09x + 0.13x = 16.43 + -0.13x + 0.13x

Combine like terms: 0.09x + 0.13x = 0.22x
16.2 + 0.22x = 16.43 + -0.13x + 0.13x

Combine like terms: -0.13x + 0.13x = 0.00
16.2 + 0.22x = 16.43 + 0.00
16.2 + 0.22x = 16.43

Add '-16.2' to each side of the equation.
16.2 + -16.2 + 0.22x = 16.43 + -16.2

Combine like terms: 16.2 + -16.2 = 0.0
0.0 + 0.22x = 16.43 + -16.2
0.22x = 16.43 + -16.2

Combine like terms: 16.43 + -16.2 = 0.23
0.22x = 0.23

Divide each side by '0.22'.
x = 1.045454545

Simplifying
x = 1.045454545

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