6(x-5)=1(x+25)

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Solution for 6(x-5)=1(x+25) equation:


Simplifying
6(x + -5) = 1(x + 25)

Reorder the terms:
6(-5 + x) = 1(x + 25)
(-5 * 6 + x * 6) = 1(x + 25)
(-30 + 6x) = 1(x + 25)

Reorder the terms:
-30 + 6x = 1(25 + x)
-30 + 6x = (25 * 1 + x * 1)
-30 + 6x = (25 + 1x)

Solving
-30 + 6x = 25 + 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.
-30 + 6x + -1x = 25 + 1x + -1x

Combine like terms: 6x + -1x = 5x
-30 + 5x = 25 + 1x + -1x

Combine like terms: 1x + -1x = 0
-30 + 5x = 25 + 0
-30 + 5x = 25

Add '30' to each side of the equation.
-30 + 30 + 5x = 25 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = 25 + 30
5x = 25 + 30

Combine like terms: 25 + 30 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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