9(x-4)=-6(x+3)+37

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Solution for 9(x-4)=-6(x+3)+37 equation: 


Simplifying
9(x + -4) = -6(x + 3) + 37

Reorder the terms:
9(-4 + x) = -6(x + 3) + 37
(-4 * 9 + x * 9) = -6(x + 3) + 37
(-36 + 9x) = -6(x + 3) + 37

Reorder the terms:
-36 + 9x = -6(3 + x) + 37
-36 + 9x = (3 * -6 + x * -6) + 37
-36 + 9x = (-18 + -6x) + 37

Reorder the terms:
-36 + 9x = -18 + 37 + -6x

Combine like terms: -18 + 37 = 19
-36 + 9x = 19 + -6x

Solving
-36 + 9x = 19 + -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.
-36 + 9x + 6x = 19 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-36 + 15x = 19 + -6x + 6x

Combine like terms: -6x + 6x = 0
-36 + 15x = 19 + 0
-36 + 15x = 19

Add '36' to each side of the equation.
-36 + 36 + 15x = 19 + 36

Combine like terms: -36 + 36 = 0
0 + 15x = 19 + 36
15x = 19 + 36

Combine like terms: 19 + 36 = 55
15x = 55

Divide each side by '15'.
x = 3.666666667

Simplifying
x = 3.666666667

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