5x-2=6(x-8)

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Solution for 5x-2=6(x-8) equation:


Simplifying
5x + -2 = 6(x + -8)

Reorder the terms:
-2 + 5x = 6(x + -8)

Reorder the terms:
-2 + 5x = 6(-8 + x)
-2 + 5x = (-8 * 6 + x * 6)
-2 + 5x = (-48 + 6x)

Solving
-2 + 5x = -48 + 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.
-2 + 5x + -6x = -48 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-2 + -1x = -48 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -1x = -48 + 0
-2 + -1x = -48

Add '2' to each side of the equation.
-2 + 2 + -1x = -48 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -48 + 2
-1x = -48 + 2

Combine like terms: -48 + 2 = -46
-1x = -46

Divide each side by '-1'.
x = 46

Simplifying
x = 46

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