2x+21-x=8+4x-5

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Solution for 2x+21-x=8+4x-5 equation:


Simplifying
2x + 21 + -1x = 8 + 4x + -5

Reorder the terms:
21 + 2x + -1x = 8 + 4x + -5

Combine like terms: 2x + -1x = 1x
21 + 1x = 8 + 4x + -5

Reorder the terms:
21 + 1x = 8 + -5 + 4x

Combine like terms: 8 + -5 = 3
21 + 1x = 3 + 4x

Solving
21 + 1x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 1x + -4x = 3 + 4x + -4x

Combine like terms: 1x + -4x = -3x
21 + -3x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -3x = 3 + 0
21 + -3x = 3

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

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

Combine like terms: 3 + -21 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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