9(x-3)=-6(x+2)+40

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Solution for 9(x-3)=-6(x+2)+40 equation: 


Simplifying
9(x + -3) = -6(x + 2) + 40

Reorder the terms:
9(-3 + x) = -6(x + 2) + 40
(-3 * 9 + x * 9) = -6(x + 2) + 40
(-27 + 9x) = -6(x + 2) + 40

Reorder the terms:
-27 + 9x = -6(2 + x) + 40
-27 + 9x = (2 * -6 + x * -6) + 40
-27 + 9x = (-12 + -6x) + 40

Reorder the terms:
-27 + 9x = -12 + 40 + -6x

Combine like terms: -12 + 40 = 28
-27 + 9x = 28 + -6x

Solving
-27 + 9x = 28 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-27 + 9x + 6x = 28 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-27 + 15x = 28 + -6x + 6x

Combine like terms: -6x + 6x = 0
-27 + 15x = 28 + 0
-27 + 15x = 28

Add '27' to each side of the equation.
-27 + 27 + 15x = 28 + 27

Combine like terms: -27 + 27 = 0
0 + 15x = 28 + 27
15x = 28 + 27

Combine like terms: 28 + 27 = 55
15x = 55

Divide each side by '15'.
x = 3.666666667

Simplifying
x = 3.666666667

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