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

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


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

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

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

Solving
-15 + -9x = 30 + 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 + -9x + -6x = 30 + 6x + -6x

Combine like terms: -9x + -6x = -15x
-15 + -15x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -15x = 30 + 0
-15 + -15x = 30

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

Combine like terms: -15 + 15 = 0
0 + -15x = 30 + 15
-15x = 30 + 15

Combine like terms: 30 + 15 = 45
-15x = 45

Divide each side by '-15'.
x = -3

Simplifying
x = -3

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