(3x-5)-(1-2x)=14

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Solution for (3x-5)-(1-2x)=14 equation:


Simplifying
(3x + -5) + -1(1 + -2x) = 14

Reorder the terms:
(-5 + 3x) + -1(1 + -2x) = 14

Remove parenthesis around (-5 + 3x)
-5 + 3x + -1(1 + -2x) = 14
-5 + 3x + (1 * -1 + -2x * -1) = 14
-5 + 3x + (-1 + 2x) = 14

Reorder the terms:
-5 + -1 + 3x + 2x = 14

Combine like terms: -5 + -1 = -6
-6 + 3x + 2x = 14

Combine like terms: 3x + 2x = 5x
-6 + 5x = 14

Solving
-6 + 5x = 14

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 14 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 14 + 6
5x = 14 + 6

Combine like terms: 14 + 6 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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