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

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


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

Reorder the terms:
5 + -2(-3 + 2x) = 2x + -1
5 + (-3 * -2 + 2x * -2) = 2x + -1
5 + (6 + -4x) = 2x + -1

Combine like terms: 5 + 6 = 11
11 + -4x = 2x + -1

Reorder the terms:
11 + -4x = -1 + 2x

Solving
11 + -4x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -4x + -2x = -1 + 2x + -2x

Combine like terms: -4x + -2x = -6x
11 + -6x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -6x = -1 + 0
11 + -6x = -1

Add '-11' to each side of the equation.
11 + -11 + -6x = -1 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -1 + -11
-6x = -1 + -11

Combine like terms: -1 + -11 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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