2(4x+3)-(2x-5)=41

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Solution for 2(4x+3)-(2x-5)=41 equation:


Simplifying
2(4x + 3) + -1(2x + -5) = 41

Reorder the terms:
2(3 + 4x) + -1(2x + -5) = 41
(3 * 2 + 4x * 2) + -1(2x + -5) = 41
(6 + 8x) + -1(2x + -5) = 41

Reorder the terms:
6 + 8x + -1(-5 + 2x) = 41
6 + 8x + (-5 * -1 + 2x * -1) = 41
6 + 8x + (5 + -2x) = 41

Reorder the terms:
6 + 5 + 8x + -2x = 41

Combine like terms: 6 + 5 = 11
11 + 8x + -2x = 41

Combine like terms: 8x + -2x = 6x
11 + 6x = 41

Solving
11 + 6x = 41

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 6x = 41 + -11

Combine like terms: 11 + -11 = 0
0 + 6x = 41 + -11
6x = 41 + -11

Combine like terms: 41 + -11 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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