39(x+2)=2(x+5)

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Solution for 39(x+2)=2(x+5) equation:


Simplifying
39(x + 2) = 2(x + 5)

Reorder the terms:
39(2 + x) = 2(x + 5)
(2 * 39 + x * 39) = 2(x + 5)
(78 + 39x) = 2(x + 5)

Reorder the terms:
78 + 39x = 2(5 + x)
78 + 39x = (5 * 2 + x * 2)
78 + 39x = (10 + 2x)

Solving
78 + 39x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
78 + 39x + -2x = 10 + 2x + -2x

Combine like terms: 39x + -2x = 37x
78 + 37x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
78 + 37x = 10 + 0
78 + 37x = 10

Add '-78' to each side of the equation.
78 + -78 + 37x = 10 + -78

Combine like terms: 78 + -78 = 0
0 + 37x = 10 + -78
37x = 10 + -78

Combine like terms: 10 + -78 = -68
37x = -68

Divide each side by '37'.
x = -1.837837838

Simplifying
x = -1.837837838

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