(5x-4)-(3x-1)=3

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Solution for (5x-4)-(3x-1)=3 equation:


Simplifying
(5x + -4) + -1(3x + -1) = 3

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

Remove parenthesis around (-4 + 5x)
-4 + 5x + -1(3x + -1) = 3

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

Reorder the terms:
-4 + 1 + 5x + -3x = 3

Combine like terms: -4 + 1 = -3
-3 + 5x + -3x = 3

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

Solving
-3 + 2x = 3

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 3 + 3
2x = 3 + 3

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

Divide each side by '2'.
x = 3

Simplifying
x = 3

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