2x-(3x-5)=1

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


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

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

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

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

Solving
5 + -1x = 1

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 1 + -5
-1x = 1 + -5

Combine like terms: 1 + -5 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

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