(5x+2)+(3x-8)=26

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Solution for (5x+2)+(3x-8)=26 equation:


Simplifying
(5x + 2) + (3x + -8) = 26

Reorder the terms:
(2 + 5x) + (3x + -8) = 26

Remove parenthesis around (2 + 5x)
2 + 5x + (3x + -8) = 26

Reorder the terms:
2 + 5x + (-8 + 3x) = 26

Remove parenthesis around (-8 + 3x)
2 + 5x + -8 + 3x = 26

Reorder the terms:
2 + -8 + 5x + 3x = 26

Combine like terms: 2 + -8 = -6
-6 + 5x + 3x = 26

Combine like terms: 5x + 3x = 8x
-6 + 8x = 26

Solving
-6 + 8x = 26

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 8x = 26 + 6

Combine like terms: -6 + 6 = 0
0 + 8x = 26 + 6
8x = 26 + 6

Combine like terms: 26 + 6 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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