21x-3=5(4x+5)-22

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Solution for 21x-3=5(4x+5)-22 equation:


Simplifying
21x + -3 = 5(4x + 5) + -22

Reorder the terms:
-3 + 21x = 5(4x + 5) + -22

Reorder the terms:
-3 + 21x = 5(5 + 4x) + -22
-3 + 21x = (5 * 5 + 4x * 5) + -22
-3 + 21x = (25 + 20x) + -22

Reorder the terms:
-3 + 21x = 25 + -22 + 20x

Combine like terms: 25 + -22 = 3
-3 + 21x = 3 + 20x

Solving
-3 + 21x = 3 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-3 + 21x + -20x = 3 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-3 + 1x = 3 + 20x + -20x

Combine like terms: 20x + -20x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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