3(7x+2)=5(4x+1)+17

Solution for 3(7x+2)=5(4x+1)+17 equation:

Simplifying
3(7x + 2) = 5(4x + 1) + 17

Reorder the terms:
3(2 + 7x) = 5(4x + 1) + 17
(2 * 3 + 7x * 3) = 5(4x + 1) + 17
(6 + 21x) = 5(4x + 1) + 17

Reorder the terms:
6 + 21x = 5(1 + 4x) + 17
6 + 21x = (1 * 5 + 4x * 5) + 17
6 + 21x = (5 + 20x) + 17

Reorder the terms:
6 + 21x = 5 + 17 + 20x

Combine like terms: 5 + 17 = 22
6 + 21x = 22 + 20x

Solving
6 + 21x = 22 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
6 + 21x + -20x = 22 + 20x + -20x

Combine like terms: 21x + -20x = 1x
6 + 1x = 22 + 20x + -20x

Combine like terms: 20x + -20x = 0
6 + 1x = 22 + 0
6 + 1x = 22

Add '-6' to each side of the equation.
6 + -6 + 1x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 22 + -6
1x = 22 + -6

Combine like terms: 22 + -6 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16