21-46=5(x-1)-5

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Solution for 21-46=5(x-1)-5 equation:


Simplifying
21 + -46 = 5(x + -1) + -5

Combine like terms: 21 + -46 = -25
-25 = 5(x + -1) + -5

Reorder the terms:
-25 = 5(-1 + x) + -5
-25 = (-1 * 5 + x * 5) + -5
-25 = (-5 + 5x) + -5

Reorder the terms:
-25 = -5 + -5 + 5x

Combine like terms: -5 + -5 = -10
-25 = -10 + 5x

Solving
-25 = -10 + 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.
-25 + -5x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-25 + -5x = -10 + 0
-25 + -5x = -10

Add '25' to each side of the equation.
-25 + 25 + -5x = -10 + 25

Combine like terms: -25 + 25 = 0
0 + -5x = -10 + 25
-5x = -10 + 25

Combine like terms: -10 + 25 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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