5(5x-1)=x+6

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Solution for 5(5x-1)=x+6 equation:


Simplifying
5(5x + -1) = x + 6

Reorder the terms:
5(-1 + 5x) = x + 6
(-1 * 5 + 5x * 5) = x + 6
(-5 + 25x) = x + 6

Reorder the terms:
-5 + 25x = 6 + x

Solving
-5 + 25x = 6 + x

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.
-5 + 25x + -1x = 6 + x + -1x

Combine like terms: 25x + -1x = 24x
-5 + 24x = 6 + x + -1x

Combine like terms: x + -1x = 0
-5 + 24x = 6 + 0
-5 + 24x = 6

Add '5' to each side of the equation.
-5 + 5 + 24x = 6 + 5

Combine like terms: -5 + 5 = 0
0 + 24x = 6 + 5
24x = 6 + 5

Combine like terms: 6 + 5 = 11
24x = 11

Divide each side by '24'.
x = 0.4583333333

Simplifying
x = 0.4583333333

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