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

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


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

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

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

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

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

Add '3' to each side of the equation.
-3 + 3 + 4x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
0 + 4x = -3 + 3 + 5x
4x = -3 + 3 + 5x

Combine like terms: -3 + 3 = 0
4x = 0 + 5x
4x = 5x

Solving
4x = 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
-1x = 0

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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