9-2(x-4)=-x+9

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Solution for 9-2(x-4)=-x+9 equation:


Simplifying
9 + -2(x + -4) = -1x + 9

Reorder the terms:
9 + -2(-4 + x) = -1x + 9
9 + (-4 * -2 + x * -2) = -1x + 9
9 + (8 + -2x) = -1x + 9

Combine like terms: 9 + 8 = 17
17 + -2x = -1x + 9

Reorder the terms:
17 + -2x = 9 + -1x

Solving
17 + -2x = 9 + -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.
17 + -2x + x = 9 + -1x + x

Combine like terms: -2x + x = -1x
17 + -1x = 9 + -1x + x

Combine like terms: -1x + x = 0
17 + -1x = 9 + 0
17 + -1x = 9

Add '-17' to each side of the equation.
17 + -17 + -1x = 9 + -17

Combine like terms: 17 + -17 = 0
0 + -1x = 9 + -17
-1x = 9 + -17

Combine like terms: 9 + -17 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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