(2(6x)-18)=(2(5x)-3x)

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Solution for (2(6x)-18)=(2(5x)-3x) equation:


Simplifying
(2(6x) + -18) = (2(5x) + -3x)

Remove parenthesis around (6x)
(2 * 6x + -18) = (2(5x) + -3x)

Multiply 2 * 6
(12x + -18) = (2(5x) + -3x)

Reorder the terms:
(-18 + 12x) = (2(5x) + -3x)

Remove parenthesis around (-18 + 12x)
-18 + 12x = (2(5x) + -3x)

Remove parenthesis around (5x)
-18 + 12x = (2 * 5x + -3x)

Multiply 2 * 5
-18 + 12x = (10x + -3x)

Combine like terms: 10x + -3x = 7x
-18 + 12x = (7x)
-18 + 12x = (7x)

Solving
-18 + 12x = (7x)

Solving for variable 'x'.

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

Add '(-7x)' to each side of the equation.
-18 + 12x + (-7x) = (7x) + (-7x)

Combine like terms: 12x + (-7x) = 5x
-18 + 5x = (7x) + (-7x)

Combine like terms: (7x) + (-7x) = 0
-18 + 5x = 0

Add '18' to each side of the equation.
-18 + 18 + 5x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 5x = 0 + 18
5x = 0 + 18

Combine like terms: 0 + 18 = 18
5x = 18

Divide each side by '5'.
x = 3.6

Simplifying
x = 3.6

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