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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

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

Combine like terms: -2x + 3x = 1x
4 + 1x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 1x = 9 + 0
4 + 1x = 9

Add '-4' to each side of the equation.
4 + -4 + 1x = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = 9 + -4
1x = 9 + -4

Combine like terms: 9 + -4 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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