6(x+5)=3(x+16)

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Solution for 6(x+5)=3(x+16) equation: 


Simplifying
6(x + 5) = 3(x + 16)

Reorder the terms:
6(5 + x) = 3(x + 16)
(5 * 6 + x * 6) = 3(x + 16)
(30 + 6x) = 3(x + 16)

Reorder the terms:
30 + 6x = 3(16 + x)
30 + 6x = (16 * 3 + x * 3)
30 + 6x = (48 + 3x)

Solving
30 + 6x = 48 + 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 + 6x + -3x = 48 + 3x + -3x

Combine like terms: 6x + -3x = 3x
30 + 3x = 48 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 3x = 48 + 0
30 + 3x = 48

Add '-30' to each side of the equation.
30 + -30 + 3x = 48 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 48 + -30
3x = 48 + -30

Combine like terms: 48 + -30 = 18
3x = 18

Divide each side by '3'.
x = 6

Simplifying
x = 6

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