(5x-3)=(7x-6)

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Solution for (5x-3)=(7x-6) equation:


Simplifying
(5x + -3) = (7x + -6)

Reorder the terms:
(-3 + 5x) = (7x + -6)

Remove parenthesis around (-3 + 5x)
-3 + 5x = (7x + -6)

Reorder the terms:
-3 + 5x = (-6 + 7x)

Remove parenthesis around (-6 + 7x)
-3 + 5x = -6 + 7x

Solving
-3 + 5x = -6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 5x + -7x = -6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-3 + -2x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -2x = -6 + 0
-3 + -2x = -6

Add '3' to each side of the equation.
-3 + 3 + -2x = -6 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = -6 + 3
-2x = -6 + 3

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

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5

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