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

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


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

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

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

Combine like terms: 2x + 3x = 5x
-3 + 5x = 21 + -1x

Solving
-3 + 5x = 21 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-3 + 5x + x = 21 + -1x + x

Combine like terms: 5x + x = 6x
-3 + 6x = 21 + -1x + x

Combine like terms: -1x + x = 0
-3 + 6x = 21 + 0
-3 + 6x = 21

Add '3' to each side of the equation.
-3 + 3 + 6x = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = 21 + 3
6x = 21 + 3

Combine like terms: 21 + 3 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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