2x-10-6=3x-21

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Solution for 2x-10-6=3x-21 equation:


Simplifying
2x + -10 + -6 = 3x + -21

Reorder the terms:
-10 + -6 + 2x = 3x + -21

Combine like terms: -10 + -6 = -16
-16 + 2x = 3x + -21

Reorder the terms:
-16 + 2x = -21 + 3x

Solving
-16 + 2x = -21 + 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.
-16 + 2x + -3x = -21 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-16 + -1x = -21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-16 + -1x = -21 + 0
-16 + -1x = -21

Add '16' to each side of the equation.
-16 + 16 + -1x = -21 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = -21 + 16
-1x = -21 + 16

Combine like terms: -21 + 16 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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