(2x-5)-(x-1)=10

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Solution for (2x-5)-(x-1)=10 equation:


Simplifying
(2x + -5) + -1(x + -1) = 10

Reorder the terms:
(-5 + 2x) + -1(x + -1) = 10

Remove parenthesis around (-5 + 2x)
-5 + 2x + -1(x + -1) = 10

Reorder the terms:
-5 + 2x + -1(-1 + x) = 10
-5 + 2x + (-1 * -1 + x * -1) = 10
-5 + 2x + (1 + -1x) = 10

Reorder the terms:
-5 + 1 + 2x + -1x = 10

Combine like terms: -5 + 1 = -4
-4 + 2x + -1x = 10

Combine like terms: 2x + -1x = 1x
-4 + 1x = 10

Solving
-4 + 1x = 10

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 1x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = 10 + 4
1x = 10 + 4

Combine like terms: 10 + 4 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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