9(x-2)=-6(x+4)+30

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Solution for 9(x-2)=-6(x+4)+30 equation:


Simplifying
9(x + -2) = -6(x + 4) + 30

Reorder the terms:
9(-2 + x) = -6(x + 4) + 30
(-2 * 9 + x * 9) = -6(x + 4) + 30
(-18 + 9x) = -6(x + 4) + 30

Reorder the terms:
-18 + 9x = -6(4 + x) + 30
-18 + 9x = (4 * -6 + x * -6) + 30
-18 + 9x = (-24 + -6x) + 30

Reorder the terms:
-18 + 9x = -24 + 30 + -6x

Combine like terms: -24 + 30 = 6
-18 + 9x = 6 + -6x

Solving
-18 + 9x = 6 + -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.
-18 + 9x + 6x = 6 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-18 + 15x = 6 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 15x = 6 + 0
-18 + 15x = 6

Add '18' to each side of the equation.
-18 + 18 + 15x = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 15x = 6 + 18
15x = 6 + 18

Combine like terms: 6 + 18 = 24
15x = 24

Divide each side by '15'.
x = 1.6

Simplifying
x = 1.6

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