(2x+5)+(6x-13)=24

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Solution for (2x+5)+(6x-13)=24 equation:


Simplifying
(2x + 5) + (6x + -13) = 24

Reorder the terms:
(5 + 2x) + (6x + -13) = 24

Remove parenthesis around (5 + 2x)
5 + 2x + (6x + -13) = 24

Reorder the terms:
5 + 2x + (-13 + 6x) = 24

Remove parenthesis around (-13 + 6x)
5 + 2x + -13 + 6x = 24

Reorder the terms:
5 + -13 + 2x + 6x = 24

Combine like terms: 5 + -13 = -8
-8 + 2x + 6x = 24

Combine like terms: 2x + 6x = 8x
-8 + 8x = 24

Solving
-8 + 8x = 24

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 8x = 24 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 24 + 8
8x = 24 + 8

Combine like terms: 24 + 8 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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