9(x+4)=2(x+39)

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Solution for 9(x+4)=2(x+39) equation:


Simplifying
9(x + 4) = 2(x + 39)

Reorder the terms:
9(4 + x) = 2(x + 39)
(4 * 9 + x * 9) = 2(x + 39)
(36 + 9x) = 2(x + 39)

Reorder the terms:
36 + 9x = 2(39 + x)
36 + 9x = (39 * 2 + x * 2)
36 + 9x = (78 + 2x)

Solving
36 + 9x = 78 + 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.
36 + 9x + -2x = 78 + 2x + -2x

Combine like terms: 9x + -2x = 7x
36 + 7x = 78 + 2x + -2x

Combine like terms: 2x + -2x = 0
36 + 7x = 78 + 0
36 + 7x = 78

Add '-36' to each side of the equation.
36 + -36 + 7x = 78 + -36

Combine like terms: 36 + -36 = 0
0 + 7x = 78 + -36
7x = 78 + -36

Combine like terms: 78 + -36 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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