9(x+3)=4(x+13)

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Solution for 9(x+3)=4(x+13) equation:


Simplifying
9(x + 3) = 4(x + 13)

Reorder the terms:
9(3 + x) = 4(x + 13)
(3 * 9 + x * 9) = 4(x + 13)
(27 + 9x) = 4(x + 13)

Reorder the terms:
27 + 9x = 4(13 + x)
27 + 9x = (13 * 4 + x * 4)
27 + 9x = (52 + 4x)

Solving
27 + 9x = 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.
27 + 9x + -4x = 52 + 4x + -4x

Combine like terms: 9x + -4x = 5x
27 + 5x = 52 + 4x + -4x

Combine like terms: 4x + -4x = 0
27 + 5x = 52 + 0
27 + 5x = 52

Add '-27' to each side of the equation.
27 + -27 + 5x = 52 + -27

Combine like terms: 27 + -27 = 0
0 + 5x = 52 + -27
5x = 52 + -27

Combine like terms: 52 + -27 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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