21-5x+10+2x=6x-14

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Solution for 21-5x+10+2x=6x-14 equation:


Simplifying
21 + -5x + 10 + 2x = 6x + -14

Reorder the terms:
21 + 10 + -5x + 2x = 6x + -14

Combine like terms: 21 + 10 = 31
31 + -5x + 2x = 6x + -14

Combine like terms: -5x + 2x = -3x
31 + -3x = 6x + -14

Reorder the terms:
31 + -3x = -14 + 6x

Solving
31 + -3x = -14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
31 + -3x + -6x = -14 + 6x + -6x

Combine like terms: -3x + -6x = -9x
31 + -9x = -14 + 6x + -6x

Combine like terms: 6x + -6x = 0
31 + -9x = -14 + 0
31 + -9x = -14

Add '-31' to each side of the equation.
31 + -31 + -9x = -14 + -31

Combine like terms: 31 + -31 = 0
0 + -9x = -14 + -31
-9x = -14 + -31

Combine like terms: -14 + -31 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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