-6(x-5)=3(x+11)

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Solution for -6(x-5)=3(x+11) equation:


Simplifying
-6(x + -5) = 3(x + 11)

Reorder the terms:
-6(-5 + x) = 3(x + 11)
(-5 * -6 + x * -6) = 3(x + 11)
(30 + -6x) = 3(x + 11)

Reorder the terms:
30 + -6x = 3(11 + x)
30 + -6x = (11 * 3 + x * 3)
30 + -6x = (33 + 3x)

Solving
30 + -6x = 33 + 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.
30 + -6x + -3x = 33 + 3x + -3x

Combine like terms: -6x + -3x = -9x
30 + -9x = 33 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + -9x = 33 + 0
30 + -9x = 33

Add '-30' to each side of the equation.
30 + -30 + -9x = 33 + -30

Combine like terms: 30 + -30 = 0
0 + -9x = 33 + -30
-9x = 33 + -30

Combine like terms: 33 + -30 = 3
-9x = 3

Divide each side by '-9'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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