21=2(3x+2)-1

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


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

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

Reorder the terms:
21 = 4 + -1 + 6x

Combine like terms: 4 + -1 = 3
21 = 3 + 6x

Solving
21 = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
21 + -6x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + -6x = 3 + 0
21 + -6x = 3

Add '-21' to each side of the equation.
21 + -21 + -6x = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -6x = 3 + -21
-6x = 3 + -21

Combine like terms: 3 + -21 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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