(8+3x)+(2-x)=14

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Solution for (8+3x)+(2-x)=14 equation:


Simplifying
(8 + 3x) + (2 + -1x) = 14

Remove parenthesis around (8 + 3x)
8 + 3x + (2 + -1x) = 14

Remove parenthesis around (2 + -1x)
8 + 3x + 2 + -1x = 14

Reorder the terms:
8 + 2 + 3x + -1x = 14

Combine like terms: 8 + 2 = 10
10 + 3x + -1x = 14

Combine like terms: 3x + -1x = 2x
10 + 2x = 14

Solving
10 + 2x = 14

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 2x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 14 + -10
2x = 14 + -10

Combine like terms: 14 + -10 = 4
2x = 4

Divide each side by '2'.
x = 2

Simplifying
x = 2

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