3(6x-3)=9-5(x-2)

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Solution for 3(6x-3)=9-5(x-2) equation:


Simplifying
3(6x + -3) = 9 + -5(x + -2)

Reorder the terms:
3(-3 + 6x) = 9 + -5(x + -2)
(-3 * 3 + 6x * 3) = 9 + -5(x + -2)
(-9 + 18x) = 9 + -5(x + -2)

Reorder the terms:
-9 + 18x = 9 + -5(-2 + x)
-9 + 18x = 9 + (-2 * -5 + x * -5)
-9 + 18x = 9 + (10 + -5x)

Combine like terms: 9 + 10 = 19
-9 + 18x = 19 + -5x

Solving
-9 + 18x = 19 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-9 + 18x + 5x = 19 + -5x + 5x

Combine like terms: 18x + 5x = 23x
-9 + 23x = 19 + -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 23x = 19 + 0
-9 + 23x = 19

Add '9' to each side of the equation.
-9 + 9 + 23x = 19 + 9

Combine like terms: -9 + 9 = 0
0 + 23x = 19 + 9
23x = 19 + 9

Combine like terms: 19 + 9 = 28
23x = 28

Divide each side by '23'.
x = 1.217391304

Simplifying
x = 1.217391304

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