3x-45=3(3x+5)

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Solution for 3x-45=3(3x+5) equation:


Simplifying
3x + -45 = 3(3x + 5)

Reorder the terms:
-45 + 3x = 3(3x + 5)

Reorder the terms:
-45 + 3x = 3(5 + 3x)
-45 + 3x = (5 * 3 + 3x * 3)
-45 + 3x = (15 + 9x)

Solving
-45 + 3x = 15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-45 + 3x + -9x = 15 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-45 + -6x = 15 + 9x + -9x

Combine like terms: 9x + -9x = 0
-45 + -6x = 15 + 0
-45 + -6x = 15

Add '45' to each side of the equation.
-45 + 45 + -6x = 15 + 45

Combine like terms: -45 + 45 = 0
0 + -6x = 15 + 45
-6x = 15 + 45

Combine like terms: 15 + 45 = 60
-6x = 60

Divide each side by '-6'.
x = -10

Simplifying
x = -10

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