21x-12=4(5x+4)-4

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Solution for 21x-12=4(5x+4)-4 equation:


Simplifying
21x + -12 = 4(5x + 4) + -4

Reorder the terms:
-12 + 21x = 4(5x + 4) + -4

Reorder the terms:
-12 + 21x = 4(4 + 5x) + -4
-12 + 21x = (4 * 4 + 5x * 4) + -4
-12 + 21x = (16 + 20x) + -4

Reorder the terms:
-12 + 21x = 16 + -4 + 20x

Combine like terms: 16 + -4 = 12
-12 + 21x = 12 + 20x

Solving
-12 + 21x = 12 + 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.
-12 + 21x + -20x = 12 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-12 + 1x = 12 + 20x + -20x

Combine like terms: 20x + -20x = 0
-12 + 1x = 12 + 0
-12 + 1x = 12

Add '12' to each side of the equation.
-12 + 12 + 1x = 12 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 12 + 12
1x = 12 + 12

Combine like terms: 12 + 12 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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