-(x-2)+11=3(x-3)

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Solution for -(x-2)+11=3(x-3) equation:


Simplifying
-1(x + -2) + 11 = 3(x + -3)

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

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

Combine like terms: 2 + 11 = 13
13 + -1x = 3(x + -3)

Reorder the terms:
13 + -1x = 3(-3 + x)
13 + -1x = (-3 * 3 + x * 3)
13 + -1x = (-9 + 3x)

Solving
13 + -1x = -9 + 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.
13 + -1x + -3x = -9 + 3x + -3x

Combine like terms: -1x + -3x = -4x
13 + -4x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
13 + -4x = -9 + 0
13 + -4x = -9

Add '-13' to each side of the equation.
13 + -13 + -4x = -9 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = -9 + -13
-4x = -9 + -13

Combine like terms: -9 + -13 = -22
-4x = -22

Divide each side by '-4'.
x = 5.5

Simplifying
x = 5.5

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