9(3x-4)=5(x+2)-16

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Solution for 9(3x-4)=5(x+2)-16 equation:


Simplifying
9(3x + -4) = 5(x + 2) + -16

Reorder the terms:
9(-4 + 3x) = 5(x + 2) + -16
(-4 * 9 + 3x * 9) = 5(x + 2) + -16
(-36 + 27x) = 5(x + 2) + -16

Reorder the terms:
-36 + 27x = 5(2 + x) + -16
-36 + 27x = (2 * 5 + x * 5) + -16
-36 + 27x = (10 + 5x) + -16

Reorder the terms:
-36 + 27x = 10 + -16 + 5x

Combine like terms: 10 + -16 = -6
-36 + 27x = -6 + 5x

Solving
-36 + 27x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-36 + 27x + -5x = -6 + 5x + -5x

Combine like terms: 27x + -5x = 22x
-36 + 22x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-36 + 22x = -6 + 0
-36 + 22x = -6

Add '36' to each side of the equation.
-36 + 36 + 22x = -6 + 36

Combine like terms: -36 + 36 = 0
0 + 22x = -6 + 36
22x = -6 + 36

Combine like terms: -6 + 36 = 30
22x = 30

Divide each side by '22'.
x = 1.363636364

Simplifying
x = 1.363636364

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