5(x-8)=(x+6)+18

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Solution for 5(x-8)=(x+6)+18 equation:


Simplifying
5(x + -8) = (x + 6) + 18

Reorder the terms:
5(-8 + x) = (x + 6) + 18
(-8 * 5 + x * 5) = (x + 6) + 18
(-40 + 5x) = (x + 6) + 18

Reorder the terms:
-40 + 5x = (6 + x) + 18

Remove parenthesis around (6 + x)
-40 + 5x = 6 + x + 18

Reorder the terms:
-40 + 5x = 6 + 18 + x

Combine like terms: 6 + 18 = 24
-40 + 5x = 24 + x

Solving
-40 + 5x = 24 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-40 + 5x + -1x = 24 + x + -1x

Combine like terms: 5x + -1x = 4x
-40 + 4x = 24 + x + -1x

Combine like terms: x + -1x = 0
-40 + 4x = 24 + 0
-40 + 4x = 24

Add '40' to each side of the equation.
-40 + 40 + 4x = 24 + 40

Combine like terms: -40 + 40 = 0
0 + 4x = 24 + 40
4x = 24 + 40

Combine like terms: 24 + 40 = 64
4x = 64

Divide each side by '4'.
x = 16

Simplifying
x = 16

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