21x-7=4(5x+2)-1

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Solution for 21x-7=4(5x+2)-1 equation:


Simplifying
21x + -7 = 4(5x + 2) + -1

Reorder the terms:
-7 + 21x = 4(5x + 2) + -1

Reorder the terms:
-7 + 21x = 4(2 + 5x) + -1
-7 + 21x = (2 * 4 + 5x * 4) + -1
-7 + 21x = (8 + 20x) + -1

Reorder the terms:
-7 + 21x = 8 + -1 + 20x

Combine like terms: 8 + -1 = 7
-7 + 21x = 7 + 20x

Solving
-7 + 21x = 7 + 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.
-7 + 21x + -20x = 7 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-7 + 1x = 7 + 20x + -20x

Combine like terms: 20x + -20x = 0
-7 + 1x = 7 + 0
-7 + 1x = 7

Add '7' to each side of the equation.
-7 + 7 + 1x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = 7 + 7
1x = 7 + 7

Combine like terms: 7 + 7 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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