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

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


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

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

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

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

Reorder the terms:
11 + -1x = 3(-2 + x)
11 + -1x = (-2 * 3 + x * 3)
11 + -1x = (-6 + 3x)

Solving
11 + -1x = -6 + 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.
11 + -1x + -3x = -6 + 3x + -3x

Combine like terms: -1x + -3x = -4x
11 + -4x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -4x = -6 + 0
11 + -4x = -6

Add '-11' to each side of the equation.
11 + -11 + -4x = -6 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -6 + -11
-4x = -6 + -11

Combine like terms: -6 + -11 = -17
-4x = -17

Divide each side by '-4'.
x = 4.25

Simplifying
x = 4.25

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