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

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


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

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

Remove parenthesis around (-1 + x)
-1 + x + -5(x + -2) = 2

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

Reorder the terms:
-1 + 10 + x + -5x = 2

Combine like terms: -1 + 10 = 9
9 + x + -5x = 2

Combine like terms: x + -5x = -4x
9 + -4x = 2

Solving
9 + -4x = 2

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + -4x = 2 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = 2 + -9
-4x = 2 + -9

Combine like terms: 2 + -9 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75

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