(62-5x)=(10x+17)

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Solution for (62-5x)=(10x+17) equation:


Simplifying
(62 + -5x) = (10x + 17)

Remove parenthesis around (62 + -5x)
62 + -5x = (10x + 17)

Reorder the terms:
62 + -5x = (17 + 10x)

Remove parenthesis around (17 + 10x)
62 + -5x = 17 + 10x

Solving
62 + -5x = 17 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
62 + -5x + -10x = 17 + 10x + -10x

Combine like terms: -5x + -10x = -15x
62 + -15x = 17 + 10x + -10x

Combine like terms: 10x + -10x = 0
62 + -15x = 17 + 0
62 + -15x = 17

Add '-62' to each side of the equation.
62 + -62 + -15x = 17 + -62

Combine like terms: 62 + -62 = 0
0 + -15x = 17 + -62
-15x = 17 + -62

Combine like terms: 17 + -62 = -45
-15x = -45

Divide each side by '-15'.
x = 3

Simplifying
x = 3

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