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

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


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

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

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

Solving
-45 + -3x = 9 + 15x

Solving for variable 'x'.

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

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

Combine like terms: -3x + -15x = -18x
-45 + -18x = 9 + 15x + -15x

Combine like terms: 15x + -15x = 0
-45 + -18x = 9 + 0
-45 + -18x = 9

Add '45' to each side of the equation.
-45 + 45 + -18x = 9 + 45

Combine like terms: -45 + 45 = 0
0 + -18x = 9 + 45
-18x = 9 + 45

Combine like terms: 9 + 45 = 54
-18x = 54

Divide each side by '-18'.
x = -3

Simplifying
x = -3

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