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

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


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

Reorder the terms:
2x + -7(-2 + x) = 17 + -1x
2x + (-2 * -7 + x * -7) = 17 + -1x
2x + (14 + -7x) = 17 + -1x

Reorder the terms:
14 + 2x + -7x = 17 + -1x

Combine like terms: 2x + -7x = -5x
14 + -5x = 17 + -1x

Solving
14 + -5x = 17 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + -5x + x = 17 + -1x + x

Combine like terms: -5x + x = -4x
14 + -4x = 17 + -1x + x

Combine like terms: -1x + x = 0
14 + -4x = 17 + 0
14 + -4x = 17

Add '-14' to each side of the equation.
14 + -14 + -4x = 17 + -14

Combine like terms: 14 + -14 = 0
0 + -4x = 17 + -14
-4x = 17 + -14

Combine like terms: 17 + -14 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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