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

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


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

Reorder the terms:
2(-4 + 2x) + 1 = (3x + -1) + -2(x + -3)
(-4 * 2 + 2x * 2) + 1 = (3x + -1) + -2(x + -3)
(-8 + 4x) + 1 = (3x + -1) + -2(x + -3)

Reorder the terms:
-8 + 1 + 4x = (3x + -1) + -2(x + -3)

Combine like terms: -8 + 1 = -7
-7 + 4x = (3x + -1) + -2(x + -3)

Reorder the terms:
-7 + 4x = (-1 + 3x) + -2(x + -3)

Remove parenthesis around (-1 + 3x)
-7 + 4x = -1 + 3x + -2(x + -3)

Reorder the terms:
-7 + 4x = -1 + 3x + -2(-3 + x)
-7 + 4x = -1 + 3x + (-3 * -2 + x * -2)
-7 + 4x = -1 + 3x + (6 + -2x)

Reorder the terms:
-7 + 4x = -1 + 6 + 3x + -2x

Combine like terms: -1 + 6 = 5
-7 + 4x = 5 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-7 + 4x = 5 + 1x

Solving
-7 + 4x = 5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 4x + -1x = 5 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-7 + 3x = 5 + 1x + -1x

Combine like terms: 1x + -1x = 0
-7 + 3x = 5 + 0
-7 + 3x = 5

Add '7' to each side of the equation.
-7 + 7 + 3x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 5 + 7
3x = 5 + 7

Combine like terms: 5 + 7 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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