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

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


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

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

Reorder the terms:
5 + -2x = -3(-5 + x) + 1
5 + -2x = (-5 * -3 + x * -3) + 1
5 + -2x = (15 + -3x) + 1

Reorder the terms:
5 + -2x = 15 + 1 + -3x

Combine like terms: 15 + 1 = 16
5 + -2x = 16 + -3x

Solving
5 + -2x = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + -2x + 3x = 16 + -3x + 3x

Combine like terms: -2x + 3x = 1x
5 + 1x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 1x = 16 + 0
5 + 1x = 16

Add '-5' to each side of the equation.
5 + -5 + 1x = 16 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 16 + -5
1x = 16 + -5

Combine like terms: 16 + -5 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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