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

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


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

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

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

Solving
-8 + 4x = -1 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-8 + 4x + 3x = -1 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-8 + 7x = -1 + 0
-8 + 7x = -1

Add '8' to each side of the equation.
-8 + 8 + 7x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 7x = -1 + 8
7x = -1 + 8

Combine like terms: -1 + 8 = 7
7x = 7

Divide each side by '7'.
x = 1

Simplifying
x = 1

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