2(x+3)=5(8-x)+1

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Solution for 2(x+3)=5(8-x)+1 equation:


Simplifying
2(x + 3) = 5(8 + -1x) + 1

Reorder the terms:
2(3 + x) = 5(8 + -1x) + 1
(3 * 2 + x * 2) = 5(8 + -1x) + 1
(6 + 2x) = 5(8 + -1x) + 1
6 + 2x = (8 * 5 + -1x * 5) + 1
6 + 2x = (40 + -5x) + 1

Reorder the terms:
6 + 2x = 40 + 1 + -5x

Combine like terms: 40 + 1 = 41
6 + 2x = 41 + -5x

Solving
6 + 2x = 41 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
6 + 2x + 5x = 41 + -5x + 5x

Combine like terms: 2x + 5x = 7x
6 + 7x = 41 + -5x + 5x

Combine like terms: -5x + 5x = 0
6 + 7x = 41 + 0
6 + 7x = 41

Add '-6' to each side of the equation.
6 + -6 + 7x = 41 + -6

Combine like terms: 6 + -6 = 0
0 + 7x = 41 + -6
7x = 41 + -6

Combine like terms: 41 + -6 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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