.23(9x+15)=17-3(x+12)

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Solution for .23(9x+15)=17-3(x+12) equation: 


Simplifying
0.23(9x + 15) = 17 + -3(x + 12)

Reorder the terms:
0.23(15 + 9x) = 17 + -3(x + 12)
(15 * 0.23 + 9x * 0.23) = 17 + -3(x + 12)
(3.45 + 2.07x) = 17 + -3(x + 12)

Reorder the terms:
3.45 + 2.07x = 17 + -3(12 + x)
3.45 + 2.07x = 17 + (12 * -3 + x * -3)
3.45 + 2.07x = 17 + (-36 + -3x)

Combine like terms: 17 + -36 = -19
3.45 + 2.07x = -19 + -3x

Solving
3.45 + 2.07x = -19 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
3.45 + 2.07x + 3x = -19 + -3x + 3x

Combine like terms: 2.07x + 3x = 5.07x
3.45 + 5.07x = -19 + -3x + 3x

Combine like terms: -3x + 3x = 0
3.45 + 5.07x = -19 + 0
3.45 + 5.07x = -19

Add '-3.45' to each side of the equation.
3.45 + -3.45 + 5.07x = -19 + -3.45

Combine like terms: 3.45 + -3.45 = 0.00
0.00 + 5.07x = -19 + -3.45
5.07x = -19 + -3.45

Combine like terms: -19 + -3.45 = -22.45
5.07x = -22.45

Divide each side by '5.07'.
x = -4.42800789

Simplifying
x = -4.42800789

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