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

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


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

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

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

Solving
-30 + 5x = -18 + 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.
-30 + 5x + -6x = -18 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-30 + -1x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-30 + -1x = -18 + 0
-30 + -1x = -18

Add '30' to each side of the equation.
-30 + 30 + -1x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = -18 + 30
-1x = -18 + 30

Combine like terms: -18 + 30 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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