6(x-5)=(x-2)

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Solution for 6(x-5)=(x-2) equation:


Simplifying
6(x + -5) = (x + -2)

Reorder the terms:
6(-5 + x) = (x + -2)
(-5 * 6 + x * 6) = (x + -2)
(-30 + 6x) = (x + -2)

Reorder the terms:
-30 + 6x = (-2 + x)

Remove parenthesis around (-2 + x)
-30 + 6x = -2 + x

Solving
-30 + 6x = -2 + x

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 = -2 + x + -1x

Combine like terms: 6x + -1x = 5x
-30 + 5x = -2 + x + -1x

Combine like terms: x + -1x = 0
-30 + 5x = -2 + 0
-30 + 5x = -2

Add '30' to each side of the equation.
-30 + 30 + 5x = -2 + 30

Combine like terms: -30 + 30 = 0
0 + 5x = -2 + 30
5x = -2 + 30

Combine like terms: -2 + 30 = 28
5x = 28

Divide each side by '5'.
x = 5.6

Simplifying
x = 5.6

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