(4+3x)+(3-x)=41

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Solution for (4+3x)+(3-x)=41 equation:


Simplifying
(4 + 3x) + (3 + -1x) = 41

Remove parenthesis around (4 + 3x)
4 + 3x + (3 + -1x) = 41

Remove parenthesis around (3 + -1x)
4 + 3x + 3 + -1x = 41

Reorder the terms:
4 + 3 + 3x + -1x = 41

Combine like terms: 4 + 3 = 7
7 + 3x + -1x = 41

Combine like terms: 3x + -1x = 2x
7 + 2x = 41

Solving
7 + 2x = 41

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 41 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 41 + -7
2x = 41 + -7

Combine like terms: 41 + -7 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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