17=4(x-1)-(x-6)

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Solution for 17=4(x-1)-(x-6) equation: 


Simplifying
17 = 4(x + -1) + -1(x + -6)

Reorder the terms:
17 = 4(-1 + x) + -1(x + -6)
17 = (-1 * 4 + x * 4) + -1(x + -6)
17 = (-4 + 4x) + -1(x + -6)

Reorder the terms:
17 = -4 + 4x + -1(-6 + x)
17 = -4 + 4x + (-6 * -1 + x * -1)
17 = -4 + 4x + (6 + -1x)

Reorder the terms:
17 = -4 + 6 + 4x + -1x

Combine like terms: -4 + 6 = 2
17 = 2 + 4x + -1x

Combine like terms: 4x + -1x = 3x
17 = 2 + 3x

Solving
17 = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
17 + -3x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -3x = 2 + 0
17 + -3x = 2

Add '-17' to each side of the equation.
17 + -17 + -3x = 2 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 2 + -17
-3x = 2 + -17

Combine like terms: 2 + -17 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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