(x+4)18=(x+16)13

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Solution for (x+4)18=(x+16)13 equation:


Simplifying
(x + 4) * 18 = (x + 16) * 13

Reorder the terms:
(4 + x) * 18 = (x + 16) * 13

Reorder the terms for easier multiplication:
18(4 + x) = (x + 16) * 13
(4 * 18 + x * 18) = (x + 16) * 13
(72 + 18x) = (x + 16) * 13

Reorder the terms:
72 + 18x = (16 + x) * 13

Reorder the terms for easier multiplication:
72 + 18x = 13(16 + x)
72 + 18x = (16 * 13 + x * 13)
72 + 18x = (208 + 13x)

Solving
72 + 18x = 208 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
72 + 18x + -13x = 208 + 13x + -13x

Combine like terms: 18x + -13x = 5x
72 + 5x = 208 + 13x + -13x

Combine like terms: 13x + -13x = 0
72 + 5x = 208 + 0
72 + 5x = 208

Add '-72' to each side of the equation.
72 + -72 + 5x = 208 + -72

Combine like terms: 72 + -72 = 0
0 + 5x = 208 + -72
5x = 208 + -72

Combine like terms: 208 + -72 = 136
5x = 136

Divide each side by '5'.
x = 27.2

Simplifying
x = 27.2

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