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

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


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

Reorder the terms:
-1 + 2x = 4x + -3(2 + -1x)
-1 + 2x = 4x + (2 * -3 + -1x * -3)
-1 + 2x = 4x + (-6 + 3x)

Reorder the terms:
-1 + 2x = -6 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-1 + 2x = -6 + 7x

Solving
-1 + 2x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-1 + 2x + -7x = -6 + 7x + -7x

Combine like terms: 2x + -7x = -5x
-1 + -5x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + -5x = -6 + 0
-1 + -5x = -6

Add '1' to each side of the equation.
-1 + 1 + -5x = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -5x = -6 + 1
-5x = -6 + 1

Combine like terms: -6 + 1 = -5
-5x = -5

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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