6x-10=(3x-1)-2

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Solution for 6x-10=(3x-1)-2 equation:


Simplifying
6x + -10 = (3x + -1) + -2

Reorder the terms:
-10 + 6x = (3x + -1) + -2

Reorder the terms:
-10 + 6x = (-1 + 3x) + -2

Remove parenthesis around (-1 + 3x)
-10 + 6x = -1 + 3x + -2

Reorder the terms:
-10 + 6x = -1 + -2 + 3x

Combine like terms: -1 + -2 = -3
-10 + 6x = -3 + 3x

Solving
-10 + 6x = -3 + 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 + 6x + -3x = -3 + 3x + -3x

Combine like terms: 6x + -3x = 3x
-10 + 3x = -3 + 3x + -3x

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

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

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

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

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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