6(x+5)=3(x+17)

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Solution for 6(x+5)=3(x+17) equation: 


Simplifying
6(x + 5) = 3(x + 17)

Reorder the terms:
6(5 + x) = 3(x + 17)
(5 * 6 + x * 6) = 3(x + 17)
(30 + 6x) = 3(x + 17)

Reorder the terms:
30 + 6x = 3(17 + x)
30 + 6x = (17 * 3 + x * 3)
30 + 6x = (51 + 3x)

Solving
30 + 6x = 51 + 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 = 51 + 3x + -3x

Combine like terms: 6x + -3x = 3x
30 + 3x = 51 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 3x = 51 + 0
30 + 3x = 51

Add '-30' to each side of the equation.
30 + -30 + 3x = 51 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = 51 + -30
3x = 51 + -30

Combine like terms: 51 + -30 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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