3(2x-1)+21=5(3*-2)+1

Solution for 3(2x-1)+21=5(3*-2)+1 equation:

Simplifying
3(2x + -1) + 21 = 5(3 * -2) + 1

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

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

Combine like terms: -3 + 21 = 18
18 + 6x = 5(3 * -2) + 1

Multiply 3 * -2
18 + 6x = 5(-6) + 1

Multiply 5 * -6
18 + 6x = -30 + 1

Combine like terms: -30 + 1 = -29
18 + 6x = -29

Solving
18 + 6x = -29

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 6x = -29 + -18

Combine like terms: 18 + -18 = 0
0 + 6x = -29 + -18
6x = -29 + -18

Combine like terms: -29 + -18 = -47
6x = -47

Divide each side by '6'.
x = -7.833333333

Simplifying
x = -7.833333333