-6(5x-3)=3(x+6)

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


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

Reorder the terms:
-6(-3 + 5x) = 3(x + 6)
(-3 * -6 + 5x * -6) = 3(x + 6)
(18 + -30x) = 3(x + 6)

Reorder the terms:
18 + -30x = 3(6 + x)
18 + -30x = (6 * 3 + x * 3)
18 + -30x = (18 + 3x)

Add '-18' to each side of the equation.
18 + -18 + -30x = 18 + -18 + 3x

Combine like terms: 18 + -18 = 0
0 + -30x = 18 + -18 + 3x
-30x = 18 + -18 + 3x

Combine like terms: 18 + -18 = 0
-30x = 0 + 3x
-30x = 3x

Solving
-30x = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-30x + -3x = 3x + -3x

Combine like terms: -30x + -3x = -33x
-33x = 3x + -3x

Combine like terms: 3x + -3x = 0
-33x = 0

Divide each side by '-33'.
x = 0

Simplifying
x = 0

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