(5x-7)=(4x-2)

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Solution for (5x-7)=(4x-2) equation:


Simplifying
(5x + -7) = (4x + -2)

Reorder the terms:
(-7 + 5x) = (4x + -2)

Remove parenthesis around (-7 + 5x)
-7 + 5x = (4x + -2)

Reorder the terms:
-7 + 5x = (-2 + 4x)

Remove parenthesis around (-2 + 4x)
-7 + 5x = -2 + 4x

Solving
-7 + 5x = -2 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-7 + 5x + -4x = -2 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-7 + 1x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + 1x = -2 + 0
-7 + 1x = -2

Add '7' to each side of the equation.
-7 + 7 + 1x = -2 + 7

Combine like terms: -7 + 7 = 0
0 + 1x = -2 + 7
1x = -2 + 7

Combine like terms: -2 + 7 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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