2-(x-8)=5(x+11)

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Solution for 2-(x-8)=5(x+11) equation:


Simplifying
2 + -1(x + -8) = 5(x + 11)

Reorder the terms:
2 + -1(-8 + x) = 5(x + 11)
2 + (-8 * -1 + x * -1) = 5(x + 11)
2 + (8 + -1x) = 5(x + 11)

Combine like terms: 2 + 8 = 10
10 + -1x = 5(x + 11)

Reorder the terms:
10 + -1x = 5(11 + x)
10 + -1x = (11 * 5 + x * 5)
10 + -1x = (55 + 5x)

Solving
10 + -1x = 55 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
10 + -1x + -5x = 55 + 5x + -5x

Combine like terms: -1x + -5x = -6x
10 + -6x = 55 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -6x = 55 + 0
10 + -6x = 55

Add '-10' to each side of the equation.
10 + -10 + -6x = 55 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = 55 + -10
-6x = 55 + -10

Combine like terms: 55 + -10 = 45
-6x = 45

Divide each side by '-6'.
x = -7.5

Simplifying
x = -7.5

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