x-9=-2(2x-3)

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Solution for x-9=-2(2x-3) equation:


Simplifying
x + -9 = -2(2x + -3)

Reorder the terms:
-9 + x = -2(2x + -3)

Reorder the terms:
-9 + x = -2(-3 + 2x)
-9 + x = (-3 * -2 + 2x * -2)
-9 + x = (6 + -4x)

Solving
-9 + x = 6 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-9 + x + 4x = 6 + -4x + 4x

Combine like terms: x + 4x = 5x
-9 + 5x = 6 + -4x + 4x

Combine like terms: -4x + 4x = 0
-9 + 5x = 6 + 0
-9 + 5x = 6

Add '9' to each side of the equation.
-9 + 9 + 5x = 6 + 9

Combine like terms: -9 + 9 = 0
0 + 5x = 6 + 9
5x = 6 + 9

Combine like terms: 6 + 9 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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