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

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


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

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

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

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

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

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

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

Solving
-1 + 2x = 10

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 10 + 1
2x = 10 + 1

Combine like terms: 10 + 1 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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