6(3x+5)=3(20+x)

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Solution for 6(3x+5)=3(20+x) equation:


Simplifying
6(3x + 5) = 3(20 + x)

Reorder the terms:
6(5 + 3x) = 3(20 + x)
(5 * 6 + 3x * 6) = 3(20 + x)
(30 + 18x) = 3(20 + x)
30 + 18x = (20 * 3 + x * 3)
30 + 18x = (60 + 3x)

Solving
30 + 18x = 60 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 18x + -3x = 60 + 3x + -3x

Combine like terms: 18x + -3x = 15x
30 + 15x = 60 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 15x = 60 + 0
30 + 15x = 60

Add '-30' to each side of the equation.
30 + -30 + 15x = 60 + -30

Combine like terms: 30 + -30 = 0
0 + 15x = 60 + -30
15x = 60 + -30

Combine like terms: 60 + -30 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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