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

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


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

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

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

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

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

Combine like terms: -3 + 10 = 7
7 + x + -2x = 1

Combine like terms: x + -2x = -1x
7 + -1x = 1

Solving
7 + -1x = 1

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 1 + -7
-1x = 1 + -7

Combine like terms: 1 + -7 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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