3x-(x-5)=21

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Solution for 3x-(x-5)=21 equation:


Simplifying
3x + -1(x + -5) = 21

Reorder the terms:
3x + -1(-5 + x) = 21
3x + (-5 * -1 + x * -1) = 21
3x + (5 + -1x) = 21

Reorder the terms:
5 + 3x + -1x = 21

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

Solving
5 + 2x = 21

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 21 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 21 + -5
2x = 21 + -5

Combine like terms: 21 + -5 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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