17=3(x-2)-(x-7)

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Solution for 17=3(x-2)-(x-7) equation: 


Simplifying
17 = 3(x + -2) + -1(x + -7)

Reorder the terms:
17 = 3(-2 + x) + -1(x + -7)
17 = (-2 * 3 + x * 3) + -1(x + -7)
17 = (-6 + 3x) + -1(x + -7)

Reorder the terms:
17 = -6 + 3x + -1(-7 + x)
17 = -6 + 3x + (-7 * -1 + x * -1)
17 = -6 + 3x + (7 + -1x)

Reorder the terms:
17 = -6 + 7 + 3x + -1x

Combine like terms: -6 + 7 = 1
17 = 1 + 3x + -1x

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

Solving
17 = 1 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 2x + -2x = 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 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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