14.62+0.07(x+3)=15.37-0.12x

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Solution for 14.62+0.07(x+3)=15.37-0.12x equation: 


Simplifying
14.62 + 0.07(x + 3) = 15.37 + -0.12x

Reorder the terms:
14.62 + 0.07(3 + x) = 15.37 + -0.12x
14.62 + (3 * 0.07 + x * 0.07) = 15.37 + -0.12x
14.62 + (0.21 + 0.07x) = 15.37 + -0.12x

Combine like terms: 14.62 + 0.21 = 14.83
14.83 + 0.07x = 15.37 + -0.12x

Solving
14.83 + 0.07x = 15.37 + -0.12x

Solving for variable 'x'.

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

Add '0.12x' to each side of the equation.
14.83 + 0.07x + 0.12x = 15.37 + -0.12x + 0.12x

Combine like terms: 0.07x + 0.12x = 0.19x
14.83 + 0.19x = 15.37 + -0.12x + 0.12x

Combine like terms: -0.12x + 0.12x = 0.00
14.83 + 0.19x = 15.37 + 0.00
14.83 + 0.19x = 15.37

Add '-14.83' to each side of the equation.
14.83 + -14.83 + 0.19x = 15.37 + -14.83

Combine like terms: 14.83 + -14.83 = 0.00
0.00 + 0.19x = 15.37 + -14.83
0.19x = 15.37 + -14.83

Combine like terms: 15.37 + -14.83 = 0.54
0.19x = 0.54

Divide each side by '0.19'.
x = 2.842105263

Simplifying
x = 2.842105263

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