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

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


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

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

Reorder the terms:
-5 + 5x = 6(-5 + x)
-5 + 5x = (-5 * 6 + x * 6)
-5 + 5x = (-30 + 6x)

Solving
-5 + 5x = -30 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 5x + -6x = -30 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-5 + -1x = -30 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + -1x = -30 + 0
-5 + -1x = -30

Add '5' to each side of the equation.
-5 + 5 + -1x = -30 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -30 + 5
-1x = -30 + 5

Combine like terms: -30 + 5 = -25
-1x = -25

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

Simplifying
x = 25

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