21-3(x+1)=-3(2-x)

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Solution for 21-3(x+1)=-3(2-x) equation:


Simplifying
21 + -3(x + 1) = -3(2 + -1x)

Reorder the terms:
21 + -3(1 + x) = -3(2 + -1x)
21 + (1 * -3 + x * -3) = -3(2 + -1x)
21 + (-3 + -3x) = -3(2 + -1x)

Combine like terms: 21 + -3 = 18
18 + -3x = -3(2 + -1x)
18 + -3x = (2 * -3 + -1x * -3)
18 + -3x = (-6 + 3x)

Solving
18 + -3x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + -3x + -3x = -6 + 3x + -3x

Combine like terms: -3x + -3x = -6x
18 + -6x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -6x = -6 + 0
18 + -6x = -6

Add '-18' to each side of the equation.
18 + -18 + -6x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = -6 + -18
-6x = -6 + -18

Combine like terms: -6 + -18 = -24
-6x = -24

Divide each side by '-6'.
x = 4

Simplifying
x = 4

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