2(7x+2)+3(x-1)=20

Solution for 2(7x+2)+3(x-1)=20 equation:

Simplifying
2(7x + 2) + 3(x + -1) = 20

Reorder the terms:
2(2 + 7x) + 3(x + -1) = 20
(2 * 2 + 7x * 2) + 3(x + -1) = 20
(4 + 14x) + 3(x + -1) = 20

Reorder the terms:
4 + 14x + 3(-1 + x) = 20
4 + 14x + (-1 * 3 + x * 3) = 20
4 + 14x + (-3 + 3x) = 20

Reorder the terms:
4 + -3 + 14x + 3x = 20

Combine like terms: 4 + -3 = 1
1 + 14x + 3x = 20

Combine like terms: 14x + 3x = 17x
1 + 17x = 20

Solving
1 + 17x = 20

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 17x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + 17x = 20 + -1
17x = 20 + -1

Combine like terms: 20 + -1 = 19
17x = 19

Divide each side by '17'.
x = 1.117647059

Simplifying
x = 1.117647059