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

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


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

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

Reorder the terms:
-17 + 21x = 5(2 + 2x) + -3
-17 + 21x = (2 * 5 + 2x * 5) + -3
-17 + 21x = (10 + 10x) + -3

Reorder the terms:
-17 + 21x = 10 + -3 + 10x

Combine like terms: 10 + -3 = 7
-17 + 21x = 7 + 10x

Solving
-17 + 21x = 7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-17 + 21x + -10x = 7 + 10x + -10x

Combine like terms: 21x + -10x = 11x
-17 + 11x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-17 + 11x = 7 + 0
-17 + 11x = 7

Add '17' to each side of the equation.
-17 + 17 + 11x = 7 + 17

Combine like terms: -17 + 17 = 0
0 + 11x = 7 + 17
11x = 7 + 17

Combine like terms: 7 + 17 = 24
11x = 24

Divide each side by '11'.
x = 2.181818182

Simplifying
x = 2.181818182

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