14.74+0.07(x+3)=15.25-0.09x

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Solution for 14.74+0.07(x+3)=15.25-0.09x equation: 


Simplifying
14.74 + 0.07(x + 3) = 15.25 + -0.09x

Reorder the terms:
14.74 + 0.07(3 + x) = 15.25 + -0.09x
14.74 + (3 * 0.07 + x * 0.07) = 15.25 + -0.09x
14.74 + (0.21 + 0.07x) = 15.25 + -0.09x

Combine like terms: 14.74 + 0.21 = 14.95
14.95 + 0.07x = 15.25 + -0.09x

Solving
14.95 + 0.07x = 15.25 + -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.
14.95 + 0.07x + 0.09x = 15.25 + -0.09x + 0.09x

Combine like terms: 0.07x + 0.09x = 0.16x
14.95 + 0.16x = 15.25 + -0.09x + 0.09x

Combine like terms: -0.09x + 0.09x = 0.00
14.95 + 0.16x = 15.25 + 0.00
14.95 + 0.16x = 15.25

Add '-14.95' to each side of the equation.
14.95 + -14.95 + 0.16x = 15.25 + -14.95

Combine like terms: 14.95 + -14.95 = 0.00
0.00 + 0.16x = 15.25 + -14.95
0.16x = 15.25 + -14.95

Combine like terms: 15.25 + -14.95 = 0.3
0.16x = 0.3

Divide each side by '0.16'.
x = 1.875

Simplifying
x = 1.875

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