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

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


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

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

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

Combine like terms: 1 + 10 = 11
11 + -2x + -3x = (3 + -1x)

Combine like terms: -2x + -3x = -5x
11 + -5x = (3 + -1x)

Remove parenthesis around (3 + -1x)
11 + -5x = 3 + -1x

Solving
11 + -5x = 3 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
11 + -5x + x = 3 + -1x + x

Combine like terms: -5x + x = -4x
11 + -4x = 3 + -1x + x

Combine like terms: -1x + x = 0
11 + -4x = 3 + 0
11 + -4x = 3

Add '-11' to each side of the equation.
11 + -11 + -4x = 3 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = 3 + -11
-4x = 3 + -11

Combine like terms: 3 + -11 = -8
-4x = -8

Divide each side by '-4'.
x = 2

Simplifying
x = 2

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