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

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Solution for -2(x-1)=-7x+17 equation:


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

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

Reorder the terms:
2 + -2x = 17 + -7x

Solving
2 + -2x = 17 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
2 + -2x + 7x = 17 + -7x + 7x

Combine like terms: -2x + 7x = 5x
2 + 5x = 17 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 5x = 17 + 0
2 + 5x = 17

Add '-2' to each side of the equation.
2 + -2 + 5x = 17 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 17 + -2
5x = 17 + -2

Combine like terms: 17 + -2 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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