6(x-8)=5(x-1)

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Solution for 6(x-8)=5(x-1) equation:


Simplifying
6(x + -8) = 5(x + -1)

Reorder the terms:
6(-8 + x) = 5(x + -1)
(-8 * 6 + x * 6) = 5(x + -1)
(-48 + 6x) = 5(x + -1)

Reorder the terms:
-48 + 6x = 5(-1 + x)
-48 + 6x = (-1 * 5 + x * 5)
-48 + 6x = (-5 + 5x)

Solving
-48 + 6x = -5 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-48 + 6x + -5x = -5 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-48 + 1x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
-48 + 1x = -5 + 0
-48 + 1x = -5

Add '48' to each side of the equation.
-48 + 48 + 1x = -5 + 48

Combine like terms: -48 + 48 = 0
0 + 1x = -5 + 48
1x = -5 + 48

Combine like terms: -5 + 48 = 43
1x = 43

Divide each side by '1'.
x = 43

Simplifying
x = 43

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