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

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


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

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

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

Remove parenthesis around (2 + 3x)
-6 + 4x = 2 + 3x + -1

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

Combine like terms: 2 + -1 = 1
-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 = 1x
-6 + 1x = 1 + 3x + -3x

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

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

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

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

Divide each side by '1'.
x = 7

Simplifying
x = 7

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