x-2=5(39-x)-3

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Solution for x-2=5(39-x)-3 equation:


Simplifying
x + -2 = 5(39 + -1x) + -3

Reorder the terms:
-2 + x = 5(39 + -1x) + -3
-2 + x = (39 * 5 + -1x * 5) + -3
-2 + x = (195 + -5x) + -3

Reorder the terms:
-2 + x = 195 + -3 + -5x

Combine like terms: 195 + -3 = 192
-2 + x = 192 + -5x

Solving
-2 + x = 192 + -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.
-2 + x + 5x = 192 + -5x + 5x

Combine like terms: x + 5x = 6x
-2 + 6x = 192 + -5x + 5x

Combine like terms: -5x + 5x = 0
-2 + 6x = 192 + 0
-2 + 6x = 192

Add '2' to each side of the equation.
-2 + 2 + 6x = 192 + 2

Combine like terms: -2 + 2 = 0
0 + 6x = 192 + 2
6x = 192 + 2

Combine like terms: 192 + 2 = 194
6x = 194

Divide each side by '6'.
x = 32.33333333

Simplifying
x = 32.33333333

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