9(x-2)=6(4-x)+18

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Solution for 9(x-2)=6(4-x)+18 equation:


Simplifying
9(x + -2) = 6(4 + -1x) + 18

Reorder the terms:
9(-2 + x) = 6(4 + -1x) + 18
(-2 * 9 + x * 9) = 6(4 + -1x) + 18
(-18 + 9x) = 6(4 + -1x) + 18
-18 + 9x = (4 * 6 + -1x * 6) + 18
-18 + 9x = (24 + -6x) + 18

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

Combine like terms: 24 + 18 = 42
-18 + 9x = 42 + -6x

Solving
-18 + 9x = 42 + -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 = 42 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-18 + 15x = 42 + -6x + 6x

Combine like terms: -6x + 6x = 0
-18 + 15x = 42 + 0
-18 + 15x = 42

Add '18' to each side of the equation.
-18 + 18 + 15x = 42 + 18

Combine like terms: -18 + 18 = 0
0 + 15x = 42 + 18
15x = 42 + 18

Combine like terms: 42 + 18 = 60
15x = 60

Divide each side by '15'.
x = 4

Simplifying
x = 4

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