(x+21)-(2x-5)=3

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Solution for (x+21)-(2x-5)=3 equation:


Simplifying
(x + 21) + -1(2x + -5) = 3

Reorder the terms:
(21 + x) + -1(2x + -5) = 3

Remove parenthesis around (21 + x)
21 + x + -1(2x + -5) = 3

Reorder the terms:
21 + x + -1(-5 + 2x) = 3
21 + x + (-5 * -1 + 2x * -1) = 3
21 + x + (5 + -2x) = 3

Reorder the terms:
21 + 5 + x + -2x = 3

Combine like terms: 21 + 5 = 26
26 + x + -2x = 3

Combine like terms: x + -2x = -1x
26 + -1x = 3

Solving
26 + -1x = 3

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + -1x = 3 + -26

Combine like terms: 26 + -26 = 0
0 + -1x = 3 + -26
-1x = 3 + -26

Combine like terms: 3 + -26 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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