21x-9=4(5x+3)-3

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Solution for 21x-9=4(5x+3)-3 equation:


Simplifying
21x + -9 = 4(5x + 3) + -3

Reorder the terms:
-9 + 21x = 4(5x + 3) + -3

Reorder the terms:
-9 + 21x = 4(3 + 5x) + -3
-9 + 21x = (3 * 4 + 5x * 4) + -3
-9 + 21x = (12 + 20x) + -3

Reorder the terms:
-9 + 21x = 12 + -3 + 20x

Combine like terms: 12 + -3 = 9
-9 + 21x = 9 + 20x

Solving
-9 + 21x = 9 + 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.
-9 + 21x + -20x = 9 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-9 + 1x = 9 + 20x + -20x

Combine like terms: 20x + -20x = 0
-9 + 1x = 9 + 0
-9 + 1x = 9

Add '9' to each side of the equation.
-9 + 9 + 1x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 9 + 9
1x = 9 + 9

Combine like terms: 9 + 9 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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