21(19-x)=15(x+1)

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Solution for 21(19-x)=15(x+1) equation:


Simplifying
21(19 + -1x) = 15(x + 1)
(19 * 21 + -1x * 21) = 15(x + 1)
(399 + -21x) = 15(x + 1)

Reorder the terms:
399 + -21x = 15(1 + x)
399 + -21x = (1 * 15 + x * 15)
399 + -21x = (15 + 15x)

Solving
399 + -21x = 15 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
399 + -21x + -15x = 15 + 15x + -15x

Combine like terms: -21x + -15x = -36x
399 + -36x = 15 + 15x + -15x

Combine like terms: 15x + -15x = 0
399 + -36x = 15 + 0
399 + -36x = 15

Add '-399' to each side of the equation.
399 + -399 + -36x = 15 + -399

Combine like terms: 399 + -399 = 0
0 + -36x = 15 + -399
-36x = 15 + -399

Combine like terms: 15 + -399 = -384
-36x = -384

Divide each side by '-36'.
x = 10.66666667

Simplifying
x = 10.66666667

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