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

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


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

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

Combine like terms: 21 + 5 = 26
26 + -1x = 5x + -2

Reorder the terms:
26 + -1x = -2 + 5x

Solving
26 + -1x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
26 + -1x + -5x = -2 + 5x + -5x

Combine like terms: -1x + -5x = -6x
26 + -6x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
26 + -6x = -2 + 0
26 + -6x = -2

Add '-26' to each side of the equation.
26 + -26 + -6x = -2 + -26

Combine like terms: 26 + -26 = 0
0 + -6x = -2 + -26
-6x = -2 + -26

Combine like terms: -2 + -26 = -28
-6x = -28

Divide each side by '-6'.
x = 4.666666667

Simplifying
x = 4.666666667

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