16.24+0.13(x+3)=16.74-0.08x

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Solution for 16.24+0.13(x+3)=16.74-0.08x equation: 


Simplifying
16.24 + 0.13(x + 3) = 16.74 + -0.08x

Reorder the terms:
16.24 + 0.13(3 + x) = 16.74 + -0.08x
16.24 + (3 * 0.13 + x * 0.13) = 16.74 + -0.08x
16.24 + (0.39 + 0.13x) = 16.74 + -0.08x

Combine like terms: 16.24 + 0.39 = 16.63
16.63 + 0.13x = 16.74 + -0.08x

Solving
16.63 + 0.13x = 16.74 + -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.
16.63 + 0.13x + 0.08x = 16.74 + -0.08x + 0.08x

Combine like terms: 0.13x + 0.08x = 0.21x
16.63 + 0.21x = 16.74 + -0.08x + 0.08x

Combine like terms: -0.08x + 0.08x = 0.00
16.63 + 0.21x = 16.74 + 0.00
16.63 + 0.21x = 16.74

Add '-16.63' to each side of the equation.
16.63 + -16.63 + 0.21x = 16.74 + -16.63

Combine like terms: 16.63 + -16.63 = 0.00
0.00 + 0.21x = 16.74 + -16.63
0.21x = 16.74 + -16.63

Combine like terms: 16.74 + -16.63 = 0.11
0.21x = 0.11

Divide each side by '0.21'.
x = 0.5238095238

Simplifying
x = 0.5238095238

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