10x-2=(3x-5)

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


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

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

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

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

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

Combine like terms: 10x + -3x = 7x
-2 + 7x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 7x = -5 + 0
-2 + 7x = -5

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

Combine like terms: -2 + 2 = 0
0 + 7x = -5 + 2
7x = -5 + 2

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

Divide each side by '7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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