13.63+0.07(x+3)=14.38-0.15x

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Solution for 13.63+0.07(x+3)=14.38-0.15x equation: 


Simplifying
13.63 + 0.07(x + 3) = 14.38 + -0.15x

Reorder the terms:
13.63 + 0.07(3 + x) = 14.38 + -0.15x
13.63 + (3 * 0.07 + x * 0.07) = 14.38 + -0.15x
13.63 + (0.21 + 0.07x) = 14.38 + -0.15x

Combine like terms: 13.63 + 0.21 = 13.84
13.84 + 0.07x = 14.38 + -0.15x

Solving
13.84 + 0.07x = 14.38 + -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.
13.84 + 0.07x + 0.15x = 14.38 + -0.15x + 0.15x

Combine like terms: 0.07x + 0.15x = 0.22x
13.84 + 0.22x = 14.38 + -0.15x + 0.15x

Combine like terms: -0.15x + 0.15x = 0.00
13.84 + 0.22x = 14.38 + 0.00
13.84 + 0.22x = 14.38

Add '-13.84' to each side of the equation.
13.84 + -13.84 + 0.22x = 14.38 + -13.84

Combine like terms: 13.84 + -13.84 = 0.00
0.00 + 0.22x = 14.38 + -13.84
0.22x = 14.38 + -13.84

Combine like terms: 14.38 + -13.84 = 0.54
0.22x = 0.54

Divide each side by '0.22'.
x = 2.454545455

Simplifying
x = 2.454545455

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