3(x+5)=2(3x+18)

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Solution for 3(x+5)=2(3x+18) equation: 


Simplifying
3(x + 5) = 2(3x + 18)

Reorder the terms:
3(5 + x) = 2(3x + 18)
(5 * 3 + x * 3) = 2(3x + 18)
(15 + 3x) = 2(3x + 18)

Reorder the terms:
15 + 3x = 2(18 + 3x)
15 + 3x = (18 * 2 + 3x * 2)
15 + 3x = (36 + 6x)

Solving
15 + 3x = 36 + 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 + 3x + -6x = 36 + 6x + -6x

Combine like terms: 3x + -6x = -3x
15 + -3x = 36 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + -3x = 36 + 0
15 + -3x = 36

Add '-15' to each side of the equation.
15 + -15 + -3x = 36 + -15

Combine like terms: 15 + -15 = 0
0 + -3x = 36 + -15
-3x = 36 + -15

Combine like terms: 36 + -15 = 21
-3x = 21

Divide each side by '-3'.
x = -7

Simplifying
x = -7

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