6(x+6)=4(x+13)

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Solution for 6(x+6)=4(x+13) equation: 


Simplifying
6(x + 6) = 4(x + 13)

Reorder the terms:
6(6 + x) = 4(x + 13)
(6 * 6 + x * 6) = 4(x + 13)
(36 + 6x) = 4(x + 13)

Reorder the terms:
36 + 6x = 4(13 + x)
36 + 6x = (13 * 4 + x * 4)
36 + 6x = (52 + 4x)

Solving
36 + 6x = 52 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 6x + -4x = 52 + 4x + -4x

Combine like terms: 6x + -4x = 2x
36 + 2x = 52 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + 2x = 52 + 0
36 + 2x = 52

Add '-36' to each side of the equation.
36 + -36 + 2x = 52 + -36

Combine like terms: 36 + -36 = 0
0 + 2x = 52 + -36
2x = 52 + -36

Combine like terms: 52 + -36 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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