21x-6=5(4x+5)-19

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Solution for 21x-6=5(4x+5)-19 equation:


Simplifying
21x + -6 = 5(4x + 5) + -19

Reorder the terms:
-6 + 21x = 5(4x + 5) + -19

Reorder the terms:
-6 + 21x = 5(5 + 4x) + -19
-6 + 21x = (5 * 5 + 4x * 5) + -19
-6 + 21x = (25 + 20x) + -19

Reorder the terms:
-6 + 21x = 25 + -19 + 20x

Combine like terms: 25 + -19 = 6
-6 + 21x = 6 + 20x

Solving
-6 + 21x = 6 + 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.
-6 + 21x + -20x = 6 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-6 + 1x = 6 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + 1x = 6 + 0
-6 + 1x = 6

Add '6' to each side of the equation.
-6 + 6 + 1x = 6 + 6

Combine like terms: -6 + 6 = 0
0 + 1x = 6 + 6
1x = 6 + 6

Combine like terms: 6 + 6 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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