13(x-8)=1(x-20)

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Solution for 13(x-8)=1(x-20) equation:


Simplifying
13(x + -8) = 1(x + -20)

Reorder the terms:
13(-8 + x) = 1(x + -20)
(-8 * 13 + x * 13) = 1(x + -20)
(-104 + 13x) = 1(x + -20)

Reorder the terms:
-104 + 13x = 1(-20 + x)
-104 + 13x = (-20 * 1 + x * 1)
-104 + 13x = (-20 + 1x)

Solving
-104 + 13x = -20 + 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.
-104 + 13x + -1x = -20 + 1x + -1x

Combine like terms: 13x + -1x = 12x
-104 + 12x = -20 + 1x + -1x

Combine like terms: 1x + -1x = 0
-104 + 12x = -20 + 0
-104 + 12x = -20

Add '104' to each side of the equation.
-104 + 104 + 12x = -20 + 104

Combine like terms: -104 + 104 = 0
0 + 12x = -20 + 104
12x = -20 + 104

Combine like terms: -20 + 104 = 84
12x = 84

Divide each side by '12'.
x = 7

Simplifying
x = 7

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