2x+21=3[4-5(x-1)]

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Solution for 2x+21=3[4-5(x-1)] equation:


Simplifying
2x + 21 = 3[4 + -5(x + -1)]

Reorder the terms:
21 + 2x = 3[4 + -5(x + -1)]

Reorder the terms:
21 + 2x = 3[4 + -5(-1 + x)]
21 + 2x = 3[4 + (-1 * -5 + x * -5)]
21 + 2x = 3[4 + (5 + -5x)]

Combine like terms: 4 + 5 = 9
21 + 2x = 3[9 + -5x]
21 + 2x = [9 * 3 + -5x * 3]
21 + 2x = [27 + -15x]

Solving
21 + 2x = 27 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
21 + 2x + 15x = 27 + -15x + 15x

Combine like terms: 2x + 15x = 17x
21 + 17x = 27 + -15x + 15x

Combine like terms: -15x + 15x = 0
21 + 17x = 27 + 0
21 + 17x = 27

Add '-21' to each side of the equation.
21 + -21 + 17x = 27 + -21

Combine like terms: 21 + -21 = 0
0 + 17x = 27 + -21
17x = 27 + -21

Combine like terms: 27 + -21 = 6
17x = 6

Divide each side by '17'.
x = 0.3529411765

Simplifying
x = 0.3529411765

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