16-3(x+2)=9(x+4)-11

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Solution for 16-3(x+2)=9(x+4)-11 equation:


Simplifying
16 + -3(x + 2) = 9(x + 4) + -11

Reorder the terms:
16 + -3(2 + x) = 9(x + 4) + -11
16 + (2 * -3 + x * -3) = 9(x + 4) + -11
16 + (-6 + -3x) = 9(x + 4) + -11

Combine like terms: 16 + -6 = 10
10 + -3x = 9(x + 4) + -11

Reorder the terms:
10 + -3x = 9(4 + x) + -11
10 + -3x = (4 * 9 + x * 9) + -11
10 + -3x = (36 + 9x) + -11

Reorder the terms:
10 + -3x = 36 + -11 + 9x

Combine like terms: 36 + -11 = 25
10 + -3x = 25 + 9x

Solving
10 + -3x = 25 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + -3x + -9x = 25 + 9x + -9x

Combine like terms: -3x + -9x = -12x
10 + -12x = 25 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -12x = 25 + 0
10 + -12x = 25

Add '-10' to each side of the equation.
10 + -10 + -12x = 25 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = 25 + -10
-12x = 25 + -10

Combine like terms: 25 + -10 = 15
-12x = 15

Divide each side by '-12'.
x = -1.25

Simplifying
x = -1.25

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