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

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


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

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

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

Combine like terms: -6 + 1 = -5
-5 + 4x = (2x + -1) + -3(x + -2)

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

Remove parenthesis around (-1 + 2x)
-5 + 4x = -1 + 2x + -3(x + -2)

Reorder the terms:
-5 + 4x = -1 + 2x + -3(-2 + x)
-5 + 4x = -1 + 2x + (-2 * -3 + x * -3)
-5 + 4x = -1 + 2x + (6 + -3x)

Reorder the terms:
-5 + 4x = -1 + 6 + 2x + -3x

Combine like terms: -1 + 6 = 5
-5 + 4x = 5 + 2x + -3x

Combine like terms: 2x + -3x = -1x
-5 + 4x = 5 + -1x

Solving
-5 + 4x = 5 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 4x + x = 5 + -1x + x

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

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

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

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

Combine like terms: 5 + 5 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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