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

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


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

Reorder the terms:
2(-4 + 2x) + 1 = (4x + -1) + -3(x + -5)
(-4 * 2 + 2x * 2) + 1 = (4x + -1) + -3(x + -5)
(-8 + 4x) + 1 = (4x + -1) + -3(x + -5)

Reorder the terms:
-8 + 1 + 4x = (4x + -1) + -3(x + -5)

Combine like terms: -8 + 1 = -7
-7 + 4x = (4x + -1) + -3(x + -5)

Reorder the terms:
-7 + 4x = (-1 + 4x) + -3(x + -5)

Remove parenthesis around (-1 + 4x)
-7 + 4x = -1 + 4x + -3(x + -5)

Reorder the terms:
-7 + 4x = -1 + 4x + -3(-5 + x)
-7 + 4x = -1 + 4x + (-5 * -3 + x * -3)
-7 + 4x = -1 + 4x + (15 + -3x)

Reorder the terms:
-7 + 4x = -1 + 15 + 4x + -3x

Combine like terms: -1 + 15 = 14
-7 + 4x = 14 + 4x + -3x

Combine like terms: 4x + -3x = 1x
-7 + 4x = 14 + 1x

Solving
-7 + 4x = 14 + 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 = 14 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-7 + 3x = 14 + 1x + -1x

Combine like terms: 1x + -1x = 0
-7 + 3x = 14 + 0
-7 + 3x = 14

Add '7' to each side of the equation.
-7 + 7 + 3x = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 14 + 7
3x = 14 + 7

Combine like terms: 14 + 7 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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