6(2x-3)=18(x+9)

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Solution for 6(2x-3)=18(x+9) equation:


Simplifying
6(2x + -3) = 18(x + 9)

Reorder the terms:
6(-3 + 2x) = 18(x + 9)
(-3 * 6 + 2x * 6) = 18(x + 9)
(-18 + 12x) = 18(x + 9)

Reorder the terms:
-18 + 12x = 18(9 + x)
-18 + 12x = (9 * 18 + x * 18)
-18 + 12x = (162 + 18x)

Solving
-18 + 12x = 162 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-18 + 12x + -18x = 162 + 18x + -18x

Combine like terms: 12x + -18x = -6x
-18 + -6x = 162 + 18x + -18x

Combine like terms: 18x + -18x = 0
-18 + -6x = 162 + 0
-18 + -6x = 162

Add '18' to each side of the equation.
-18 + 18 + -6x = 162 + 18

Combine like terms: -18 + 18 = 0
0 + -6x = 162 + 18
-6x = 162 + 18

Combine like terms: 162 + 18 = 180
-6x = 180

Divide each side by '-6'.
x = -30

Simplifying
x = -30

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