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

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


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

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

Reorder the terms:
18 + -6x = -3(5 + x)
18 + -6x = (5 * -3 + x * -3)
18 + -6x = (-15 + -3x)

Solving
18 + -6x = -15 + -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.
18 + -6x + 3x = -15 + -3x + 3x

Combine like terms: -6x + 3x = -3x
18 + -3x = -15 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + -3x = -15 + 0
18 + -3x = -15

Add '-18' to each side of the equation.
18 + -18 + -3x = -15 + -18

Combine like terms: 18 + -18 = 0
0 + -3x = -15 + -18
-3x = -15 + -18

Combine like terms: -15 + -18 = -33
-3x = -33

Divide each side by '-3'.
x = 11

Simplifying
x = 11

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