(2x-5)-3(x-1)=10

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Solution for (2x-5)-3(x-1)=10 equation:


Simplifying
(2x + -5) + -3(x + -1) = 10

Reorder the terms:
(-5 + 2x) + -3(x + -1) = 10

Remove parenthesis around (-5 + 2x)
-5 + 2x + -3(x + -1) = 10

Reorder the terms:
-5 + 2x + -3(-1 + x) = 10
-5 + 2x + (-1 * -3 + x * -3) = 10
-5 + 2x + (3 + -3x) = 10

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

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

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

Solving
-2 + -1x = 10

Solving for variable 'x'.

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

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

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

Combine like terms: 10 + 2 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

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