(2x-13)=18-(x+4)

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Solution for (2x-13)=18-(x+4) equation:


Simplifying
(2x + -13) = 18 + -1(x + 4)

Reorder the terms:
(-13 + 2x) = 18 + -1(x + 4)

Remove parenthesis around (-13 + 2x)
-13 + 2x = 18 + -1(x + 4)

Reorder the terms:
-13 + 2x = 18 + -1(4 + x)
-13 + 2x = 18 + (4 * -1 + x * -1)
-13 + 2x = 18 + (-4 + -1x)

Combine like terms: 18 + -4 = 14
-13 + 2x = 14 + -1x

Solving
-13 + 2x = 14 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-13 + 2x + x = 14 + -1x + x

Combine like terms: 2x + x = 3x
-13 + 3x = 14 + -1x + x

Combine like terms: -1x + x = 0
-13 + 3x = 14 + 0
-13 + 3x = 14

Add '13' to each side of the equation.
-13 + 13 + 3x = 14 + 13

Combine like terms: -13 + 13 = 0
0 + 3x = 14 + 13
3x = 14 + 13

Combine like terms: 14 + 13 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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