11-5(x+4)=9-3(x+6)

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Solution for 11-5(x+4)=9-3(x+6) equation:


Simplifying
11 + -5(x + 4) = 9 + -3(x + 6)

Reorder the terms:
11 + -5(4 + x) = 9 + -3(x + 6)
11 + (4 * -5 + x * -5) = 9 + -3(x + 6)
11 + (-20 + -5x) = 9 + -3(x + 6)

Combine like terms: 11 + -20 = -9
-9 + -5x = 9 + -3(x + 6)

Reorder the terms:
-9 + -5x = 9 + -3(6 + x)
-9 + -5x = 9 + (6 * -3 + x * -3)
-9 + -5x = 9 + (-18 + -3x)

Combine like terms: 9 + -18 = -9
-9 + -5x = -9 + -3x

Add '9' to each side of the equation.
-9 + 9 + -5x = -9 + 9 + -3x

Combine like terms: -9 + 9 = 0
0 + -5x = -9 + 9 + -3x
-5x = -9 + 9 + -3x

Combine like terms: -9 + 9 = 0
-5x = 0 + -3x
-5x = -3x

Solving
-5x = -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.
-5x + 3x = -3x + 3x

Combine like terms: -5x + 3x = -2x
-2x = -3x + 3x

Combine like terms: -3x + 3x = 0
-2x = 0

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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