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

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Solution for -2(x-4)=-1(x+9) equation:


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

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

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

Solving
8 + -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.
8 + -2x + x = -9 + -1x + x

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

Combine like terms: -1x + x = 0
8 + -1x = -9 + 0
8 + -1x = -9

Add '-8' to each side of the equation.
8 + -8 + -1x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -9 + -8
-1x = -9 + -8

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

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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