5(5x+1)=6(4x+1)

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Solution for 5(5x+1)=6(4x+1) equation:


Simplifying
5(5x + 1) = 6(4x + 1)

Reorder the terms:
5(1 + 5x) = 6(4x + 1)
(1 * 5 + 5x * 5) = 6(4x + 1)
(5 + 25x) = 6(4x + 1)

Reorder the terms:
5 + 25x = 6(1 + 4x)
5 + 25x = (1 * 6 + 4x * 6)
5 + 25x = (6 + 24x)

Solving
5 + 25x = 6 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
5 + 25x + -24x = 6 + 24x + -24x

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

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 6 + -5

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1

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