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

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


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

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

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

Solving
6 + -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.
6 + -4x + -3x = 1 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
6 + -7x = 1 + 0
6 + -7x = 1

Add '-6' to each side of the equation.
6 + -6 + -7x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 1 + -6
-7x = 1 + -6

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

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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