(5x-2)=(6x-1)-4

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Solution for (5x-2)=(6x-1)-4 equation:


Simplifying
(5x + -2) = (6x + -1) + -4

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

Remove parenthesis around (-2 + 5x)
-2 + 5x = (6x + -1) + -4

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

Remove parenthesis around (-1 + 6x)
-2 + 5x = -1 + 6x + -4

Reorder the terms:
-2 + 5x = -1 + -4 + 6x

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

Solving
-2 + 5x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 5x + -6x = -5 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
-2 + -1x = -5 + 0
-2 + -1x = -5

Add '2' to each side of the equation.
-2 + 2 + -1x = -5 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -5 + 2
-1x = -5 + 2

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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