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

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


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

Reorder the terms:
1 + -2(-5 + 3x) = x + -1(2x + -1)
1 + (-5 * -2 + 3x * -2) = x + -1(2x + -1)
1 + (10 + -6x) = x + -1(2x + -1)

Combine like terms: 1 + 10 = 11
11 + -6x = x + -1(2x + -1)

Reorder the terms:
11 + -6x = x + -1(-1 + 2x)
11 + -6x = x + (-1 * -1 + 2x * -1)
11 + -6x = x + (1 + -2x)

Reorder the terms:
11 + -6x = 1 + x + -2x

Combine like terms: x + -2x = -1x
11 + -6x = 1 + -1x

Solving
11 + -6x = 1 + -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 + -6x + x = 1 + -1x + x

Combine like terms: -6x + x = -5x
11 + -5x = 1 + -1x + x

Combine like terms: -1x + x = 0
11 + -5x = 1 + 0
11 + -5x = 1

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

Combine like terms: 11 + -11 = 0
0 + -5x = 1 + -11
-5x = 1 + -11

Combine like terms: 1 + -11 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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