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

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


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

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

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

Solving
-15 + 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.
-15 + 5x + -6x = -18 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-15 + -1x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -1x = -18 + 0
-15 + -1x = -18

Add '15' to each side of the equation.
-15 + 15 + -1x = -18 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -18 + 15
-1x = -18 + 15

Combine like terms: -18 + 15 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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