21x-7=5(4x+2)-3

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Solution for 21x-7=5(4x+2)-3 equation:


Simplifying
21x + -7 = 5(4x + 2) + -3

Reorder the terms:
-7 + 21x = 5(4x + 2) + -3

Reorder the terms:
-7 + 21x = 5(2 + 4x) + -3
-7 + 21x = (2 * 5 + 4x * 5) + -3
-7 + 21x = (10 + 20x) + -3

Reorder the terms:
-7 + 21x = 10 + -3 + 20x

Combine like terms: 10 + -3 = 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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