14.71+0.12(x+3)=15.46-0.09x

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Solution for 14.71+0.12(x+3)=15.46-0.09x equation: 


Simplifying
14.71 + 0.12(x + 3) = 15.46 + -0.09x

Reorder the terms:
14.71 + 0.12(3 + x) = 15.46 + -0.09x
14.71 + (3 * 0.12 + x * 0.12) = 15.46 + -0.09x
14.71 + (0.36 + 0.12x) = 15.46 + -0.09x

Combine like terms: 14.71 + 0.36 = 15.07
15.07 + 0.12x = 15.46 + -0.09x

Solving
15.07 + 0.12x = 15.46 + -0.09x

Solving for variable 'x'.

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

Add '0.09x' to each side of the equation.
15.07 + 0.12x + 0.09x = 15.46 + -0.09x + 0.09x

Combine like terms: 0.12x + 0.09x = 0.21x
15.07 + 0.21x = 15.46 + -0.09x + 0.09x

Combine like terms: -0.09x + 0.09x = 0.00
15.07 + 0.21x = 15.46 + 0.00
15.07 + 0.21x = 15.46

Add '-15.07' to each side of the equation.
15.07 + -15.07 + 0.21x = 15.46 + -15.07

Combine like terms: 15.07 + -15.07 = 0.00
0.00 + 0.21x = 15.46 + -15.07
0.21x = 15.46 + -15.07

Combine like terms: 15.46 + -15.07 = 0.39
0.21x = 0.39

Divide each side by '0.21'.
x = 1.857142857

Simplifying
x = 1.857142857

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