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

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


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

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

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

Solving
-2 + -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.
-2 + -4x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-2 + -7x = 1 + 0
-2 + -7x = 1

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

Combine like terms: -2 + 2 = 0
0 + -7x = 1 + 2
-7x = 1 + 2

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

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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