(5x-10)=(3x-2)

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Solution for (5x-10)=(3x-2) equation:


Simplifying
(5x + -10) = (3x + -2)

Reorder the terms:
(-10 + 5x) = (3x + -2)

Remove parenthesis around (-10 + 5x)
-10 + 5x = (3x + -2)

Reorder the terms:
-10 + 5x = (-2 + 3x)

Remove parenthesis around (-2 + 3x)
-10 + 5x = -2 + 3x

Solving
-10 + 5x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 5x + -3x = -2 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x = -2 + 0
-10 + 2x = -2

Add '10' to each side of the equation.
-10 + 10 + 2x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -2 + 10
2x = -2 + 10

Combine like terms: -2 + 10 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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