(x-5)8-2=x-3

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Solution for (x-5)8-2=x-3 equation:


Simplifying
(x + -5) * 8 + -2 = x + -3

Reorder the terms:
(-5 + x) * 8 + -2 = x + -3

Reorder the terms for easier multiplication:
8(-5 + x) + -2 = x + -3
(-5 * 8 + x * 8) + -2 = x + -3
(-40 + 8x) + -2 = x + -3

Reorder the terms:
-40 + -2 + 8x = x + -3

Combine like terms: -40 + -2 = -42
-42 + 8x = x + -3

Reorder the terms:
-42 + 8x = -3 + x

Solving
-42 + 8x = -3 + 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.
-42 + 8x + -1x = -3 + x + -1x

Combine like terms: 8x + -1x = 7x
-42 + 7x = -3 + x + -1x

Combine like terms: x + -1x = 0
-42 + 7x = -3 + 0
-42 + 7x = -3

Add '42' to each side of the equation.
-42 + 42 + 7x = -3 + 42

Combine like terms: -42 + 42 = 0
0 + 7x = -3 + 42
7x = -3 + 42

Combine like terms: -3 + 42 = 39
7x = 39

Divide each side by '7'.
x = 5.571428571

Simplifying
x = 5.571428571

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