12(x+4)=(x+1)21

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Solution for 12(x+4)=(x+1)21 equation: 


Simplifying
12(x + 4) = (x + 1) * 21

Reorder the terms:
12(4 + x) = (x + 1) * 21
(4 * 12 + x * 12) = (x + 1) * 21
(48 + 12x) = (x + 1) * 21

Reorder the terms:
48 + 12x = (1 + x) * 21

Reorder the terms for easier multiplication:
48 + 12x = 21(1 + x)
48 + 12x = (1 * 21 + x * 21)
48 + 12x = (21 + 21x)

Solving
48 + 12x = 21 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
48 + 12x + -21x = 21 + 21x + -21x

Combine like terms: 12x + -21x = -9x
48 + -9x = 21 + 21x + -21x

Combine like terms: 21x + -21x = 0
48 + -9x = 21 + 0
48 + -9x = 21

Add '-48' to each side of the equation.
48 + -48 + -9x = 21 + -48

Combine like terms: 48 + -48 = 0
0 + -9x = 21 + -48
-9x = 21 + -48

Combine like terms: 21 + -48 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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