-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 = -9x
18 + -9x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
18 + -9x = -30 + 0
18 + -9x = -30

Add '-18' to each side of the equation.
18 + -18 + -9x = -30 + -18

Combine like terms: 18 + -18 = 0
0 + -9x = -30 + -18
-9x = -30 + -18

Combine like terms: -30 + -18 = -48
-9x = -48

Divide each side by '-9'.
x = 5.333333333

Simplifying
x = 5.333333333

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