3x-9=2x-4(x-1)

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Solution for 3x-9=2x-4(x-1) equation:


Simplifying
3x + -9 = 2x + -4(x + -1)

Reorder the terms:
-9 + 3x = 2x + -4(x + -1)

Reorder the terms:
-9 + 3x = 2x + -4(-1 + x)
-9 + 3x = 2x + (-1 * -4 + x * -4)
-9 + 3x = 2x + (4 + -4x)

Reorder the terms:
-9 + 3x = 4 + 2x + -4x

Combine like terms: 2x + -4x = -2x
-9 + 3x = 4 + -2x

Solving
-9 + 3x = 4 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-9 + 3x + 2x = 4 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-9 + 5x = 4 + -2x + 2x

Combine like terms: -2x + 2x = 0
-9 + 5x = 4 + 0
-9 + 5x = 4

Add '9' to each side of the equation.
-9 + 9 + 5x = 4 + 9

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

Combine like terms: 4 + 9 = 13
5x = 13

Divide each side by '5'.
x = 2.6

Simplifying
x = 2.6

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