17=4(x-2)-(x-7)

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Solution for 17=4(x-2)-(x-7) equation: 


Simplifying
17 = 4(x + -2) + -1(x + -7)

Reorder the terms:
17 = 4(-2 + x) + -1(x + -7)
17 = (-2 * 4 + x * 4) + -1(x + -7)
17 = (-8 + 4x) + -1(x + -7)

Reorder the terms:
17 = -8 + 4x + -1(-7 + x)
17 = -8 + 4x + (-7 * -1 + x * -1)
17 = -8 + 4x + (7 + -1x)

Reorder the terms:
17 = -8 + 7 + 4x + -1x

Combine like terms: -8 + 7 = -1
17 = -1 + 4x + -1x

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

Solving
17 = -1 + 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 = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -3x = -1 + 0
17 + -3x = -1

Add '-17' to each side of the equation.
17 + -17 + -3x = -1 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = -1 + -17
-3x = -1 + -17

Combine like terms: -1 + -17 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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