3(7x-1)+8(3-2x)=1

Solution for 3(7x-1)+8(3-2x)=1 equation:

Simplifying
3(7x + -1) + 8(3 + -2x) = 1

Reorder the terms:
3(-1 + 7x) + 8(3 + -2x) = 1
(-1 * 3 + 7x * 3) + 8(3 + -2x) = 1
(-3 + 21x) + 8(3 + -2x) = 1
-3 + 21x + (3 * 8 + -2x * 8) = 1
-3 + 21x + (24 + -16x) = 1

Reorder the terms:
-3 + 24 + 21x + -16x = 1

Combine like terms: -3 + 24 = 21
21 + 21x + -16x = 1

Combine like terms: 21x + -16x = 5x
21 + 5x = 1

Solving
21 + 5x = 1

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 5x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + 5x = 1 + -21
5x = 1 + -21

Combine like terms: 1 + -21 = -20
5x = -20

Divide each side by '5'.
x = -4

Simplifying
x = -4