-(x-1)-5(x-2)=-19

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Solution for -(x-1)-5(x-2)=-19 equation: 


Simplifying
-1(x + -1) + -5(x + -2) = -19

Reorder the terms:
-1(-1 + x) + -5(x + -2) = -19
(-1 * -1 + x * -1) + -5(x + -2) = -19
(1 + -1x) + -5(x + -2) = -19

Reorder the terms:
1 + -1x + -5(-2 + x) = -19
1 + -1x + (-2 * -5 + x * -5) = -19
1 + -1x + (10 + -5x) = -19

Reorder the terms:
1 + 10 + -1x + -5x = -19

Combine like terms: 1 + 10 = 11
11 + -1x + -5x = -19

Combine like terms: -1x + -5x = -6x
11 + -6x = -19

Solving
11 + -6x = -19

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -6x = -19 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = -19 + -11
-6x = -19 + -11

Combine like terms: -19 + -11 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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