3(15x-6)=-3(7-6x)

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Solution for 3(15x-6)=-3(7-6x) equation:


Simplifying
3(15x + -6) = -3(7 + -6x)

Reorder the terms:
3(-6 + 15x) = -3(7 + -6x)
(-6 * 3 + 15x * 3) = -3(7 + -6x)
(-18 + 45x) = -3(7 + -6x)
-18 + 45x = (7 * -3 + -6x * -3)
-18 + 45x = (-21 + 18x)

Solving
-18 + 45x = -21 + 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 + 45x + -18x = -21 + 18x + -18x

Combine like terms: 45x + -18x = 27x
-18 + 27x = -21 + 18x + -18x

Combine like terms: 18x + -18x = 0
-18 + 27x = -21 + 0
-18 + 27x = -21

Add '18' to each side of the equation.
-18 + 18 + 27x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + 27x = -21 + 18
27x = -21 + 18

Combine like terms: -21 + 18 = -3
27x = -3

Divide each side by '27'.
x = -0.1111111111

Simplifying
x = -0.1111111111

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