2(x+4)=11(x-5)

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Solution for 2(x+4)=11(x-5) equation:


Simplifying
2(x + 4) = 11(x + -5)

Reorder the terms:
2(4 + x) = 11(x + -5)
(4 * 2 + x * 2) = 11(x + -5)
(8 + 2x) = 11(x + -5)

Reorder the terms:
8 + 2x = 11(-5 + x)
8 + 2x = (-5 * 11 + x * 11)
8 + 2x = (-55 + 11x)

Solving
8 + 2x = -55 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
8 + 2x + -11x = -55 + 11x + -11x

Combine like terms: 2x + -11x = -9x
8 + -9x = -55 + 11x + -11x

Combine like terms: 11x + -11x = 0
8 + -9x = -55 + 0
8 + -9x = -55

Add '-8' to each side of the equation.
8 + -8 + -9x = -55 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -55 + -8
-9x = -55 + -8

Combine like terms: -55 + -8 = -63
-9x = -63

Divide each side by '-9'.
x = 7

Simplifying
x = 7

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