4-5(x-1)+3x=2x-3(2x-3)

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Solution for 4-5(x-1)+3x=2x-3(2x-3) equation:


Simplifying
4 + -5(x + -1) + 3x = 2x + -3(2x + -3)

Reorder the terms:
4 + -5(-1 + x) + 3x = 2x + -3(2x + -3)
4 + (-1 * -5 + x * -5) + 3x = 2x + -3(2x + -3)
4 + (5 + -5x) + 3x = 2x + -3(2x + -3)

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

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

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

Reorder the terms:
9 + -2x = 9 + 2x + -6x

Combine like terms: 2x + -6x = -4x
9 + -2x = 9 + -4x

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

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

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

Solving
-2x = -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.
-2x + 4x = -4x + 4x

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

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

Divide each side by '2'.
x = 0

Simplifying
x = 0

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