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

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Solution for 3(x-5)-2=6-(5-x) equation:


Simplifying
3(x + -5) + -2 = 6 + -1(5 + -1x)

Reorder the terms:
3(-5 + x) + -2 = 6 + -1(5 + -1x)
(-5 * 3 + x * 3) + -2 = 6 + -1(5 + -1x)
(-15 + 3x) + -2 = 6 + -1(5 + -1x)

Reorder the terms:
-15 + -2 + 3x = 6 + -1(5 + -1x)

Combine like terms: -15 + -2 = -17
-17 + 3x = 6 + -1(5 + -1x)
-17 + 3x = 6 + (5 * -1 + -1x * -1)
-17 + 3x = 6 + (-5 + 1x)

Combine like terms: 6 + -5 = 1
-17 + 3x = 1 + 1x

Solving
-17 + 3x = 1 + 1x

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.
-17 + 3x + -1x = 1 + 1x + -1x

Combine like terms: 3x + -1x = 2x
-17 + 2x = 1 + 1x + -1x

Combine like terms: 1x + -1x = 0
-17 + 2x = 1 + 0
-17 + 2x = 1

Add '17' to each side of the equation.
-17 + 17 + 2x = 1 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = 1 + 17
2x = 1 + 17

Combine like terms: 1 + 17 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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