(x+5)(21)=(2x)(28)

Solution for (x+5)(21)=(2x)(28) equation:

Simplifying
(x + 5)(21) = (2x)(28)

Reorder the terms:
(5 + x)(21) = (2x)(28)

Reorder the terms for easier multiplication:
21(5 + x) = (2x)(28)
(5 * 21 + x * 21) = (2x)(28)
(105 + 21x) = (2x)(28)

Remove parenthesis around (2x)
105 + 21x = 2x(28)

Reorder the terms for easier multiplication:
105 + 21x = 2 * 28x

Multiply 2 * 28
105 + 21x = 56x

Solving
105 + 21x = 56x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-56x' to each side of the equation.
105 + 21x + -56x = 56x + -56x

Combine like terms: 21x + -56x = -35x
105 + -35x = 56x + -56x

Combine like terms: 56x + -56x = 0
105 + -35x = 0

Add '-105' to each side of the equation.
105 + -105 + -35x = 0 + -105

Combine like terms: 105 + -105 = 0
0 + -35x = 0 + -105
-35x = 0 + -105

Combine like terms: 0 + -105 = -105
-35x = -105

Divide each side by '-35'.
x = 3

Simplifying
x = 3