1=5(X-5)+1-4X

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Solution for 1=5(X-5)+1-4X equation:


Simplifying
1 = 5(X + -5) + 1 + -4X

Reorder the terms:
1 = 5(-5 + X) + 1 + -4X
1 = (-5 * 5 + X * 5) + 1 + -4X
1 = (-25 + 5X) + 1 + -4X

Reorder the terms:
1 = -25 + 1 + 5X + -4X

Combine like terms: -25 + 1 = -24
1 = -24 + 5X + -4X

Combine like terms: 5X + -4X = 1X
1 = -24 + 1X

Solving
1 = -24 + 1X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
1 + -1X = -24 + 1X + -1X

Combine like terms: 1X + -1X = 0
1 + -1X = -24 + 0
1 + -1X = -24

Add '-1' to each side of the equation.
1 + -1 + -1X = -24 + -1

Combine like terms: 1 + -1 = 0
0 + -1X = -24 + -1
-1X = -24 + -1

Combine like terms: -24 + -1 = -25
-1X = -25

Divide each side by '-1'.
X = 25

Simplifying
X = 25

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