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

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


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

Reorder the terms:
3(-3 + 5x) = 6(6x + -5)
(-3 * 3 + 5x * 3) = 6(6x + -5)
(-9 + 15x) = 6(6x + -5)

Reorder the terms:
-9 + 15x = 6(-5 + 6x)
-9 + 15x = (-5 * 6 + 6x * 6)
-9 + 15x = (-30 + 36x)

Solving
-9 + 15x = -30 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-9 + 15x + -36x = -30 + 36x + -36x

Combine like terms: 15x + -36x = -21x
-9 + -21x = -30 + 36x + -36x

Combine like terms: 36x + -36x = 0
-9 + -21x = -30 + 0
-9 + -21x = -30

Add '9' to each side of the equation.
-9 + 9 + -21x = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -21x = -30 + 9
-21x = -30 + 9

Combine like terms: -30 + 9 = -21
-21x = -21

Divide each side by '-21'.
x = 1

Simplifying
x = 1

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