21+5x=3(x+2)-17

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Solution for 21+5x=3(x+2)-17 equation:


Simplifying
21 + 5x = 3(x + 2) + -17

Reorder the terms:
21 + 5x = 3(2 + x) + -17
21 + 5x = (2 * 3 + x * 3) + -17
21 + 5x = (6 + 3x) + -17

Reorder the terms:
21 + 5x = 6 + -17 + 3x

Combine like terms: 6 + -17 = -11
21 + 5x = -11 + 3x

Solving
21 + 5x = -11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
21 + 5x + -3x = -11 + 3x + -3x

Combine like terms: 5x + -3x = 2x
21 + 2x = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
21 + 2x = -11 + 0
21 + 2x = -11

Add '-21' to each side of the equation.
21 + -21 + 2x = -11 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = -11 + -21
2x = -11 + -21

Combine like terms: -11 + -21 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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