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

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


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

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

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

Solving
18 + -3x = 30 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
18 + -3x + 6x = 30 + -6x + 6x

Combine like terms: -3x + 6x = 3x
18 + 3x = 30 + -6x + 6x

Combine like terms: -6x + 6x = 0
18 + 3x = 30 + 0
18 + 3x = 30

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

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

Combine like terms: 30 + -18 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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