10(x+6)=4(x+27)

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Solution for 10(x+6)=4(x+27) equation: 


Simplifying
10(x + 6) = 4(x + 27)

Reorder the terms:
10(6 + x) = 4(x + 27)
(6 * 10 + x * 10) = 4(x + 27)
(60 + 10x) = 4(x + 27)

Reorder the terms:
60 + 10x = 4(27 + x)
60 + 10x = (27 * 4 + x * 4)
60 + 10x = (108 + 4x)

Solving
60 + 10x = 108 + 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.
60 + 10x + -4x = 108 + 4x + -4x

Combine like terms: 10x + -4x = 6x
60 + 6x = 108 + 4x + -4x

Combine like terms: 4x + -4x = 0
60 + 6x = 108 + 0
60 + 6x = 108

Add '-60' to each side of the equation.
60 + -60 + 6x = 108 + -60

Combine like terms: 60 + -60 = 0
0 + 6x = 108 + -60
6x = 108 + -60

Combine like terms: 108 + -60 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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