3(2x+1)-2(x-1)=41

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Solution for 3(2x+1)-2(x-1)=41 equation: 


Simplifying
3(2x + 1) + -2(x + -1) = 41

Reorder the terms:
3(1 + 2x) + -2(x + -1) = 41
(1 * 3 + 2x * 3) + -2(x + -1) = 41
(3 + 6x) + -2(x + -1) = 41

Reorder the terms:
3 + 6x + -2(-1 + x) = 41
3 + 6x + (-1 * -2 + x * -2) = 41
3 + 6x + (2 + -2x) = 41

Reorder the terms:
3 + 2 + 6x + -2x = 41

Combine like terms: 3 + 2 = 5
5 + 6x + -2x = 41

Combine like terms: 6x + -2x = 4x
5 + 4x = 41

Solving
5 + 4x = 41

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 4x = 41 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 41 + -5
4x = 41 + -5

Combine like terms: 41 + -5 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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