11(3x-4)+6(5x+7)=-254

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Solution for 11(3x-4)+6(5x+7)=-254 equation:


Simplifying
11(3x + -4) + 6(5x + 7) = -254

Reorder the terms:
11(-4 + 3x) + 6(5x + 7) = -254
(-4 * 11 + 3x * 11) + 6(5x + 7) = -254
(-44 + 33x) + 6(5x + 7) = -254

Reorder the terms:
-44 + 33x + 6(7 + 5x) = -254
-44 + 33x + (7 * 6 + 5x * 6) = -254
-44 + 33x + (42 + 30x) = -254

Reorder the terms:
-44 + 42 + 33x + 30x = -254

Combine like terms: -44 + 42 = -2
-2 + 33x + 30x = -254

Combine like terms: 33x + 30x = 63x
-2 + 63x = -254

Solving
-2 + 63x = -254

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 63x = -254 + 2

Combine like terms: -2 + 2 = 0
0 + 63x = -254 + 2
63x = -254 + 2

Combine like terms: -254 + 2 = -252
63x = -252

Divide each side by '63'.
x = -4

Simplifying
x = -4

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