9(2x-2)+13=3(x+8)+16

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Solution for 9(2x-2)+13=3(x+8)+16 equation: 


Simplifying
9(2x + -2) + 13 = 3(x + 8) + 16

Reorder the terms:
9(-2 + 2x) + 13 = 3(x + 8) + 16
(-2 * 9 + 2x * 9) + 13 = 3(x + 8) + 16
(-18 + 18x) + 13 = 3(x + 8) + 16

Reorder the terms:
-18 + 13 + 18x = 3(x + 8) + 16

Combine like terms: -18 + 13 = -5
-5 + 18x = 3(x + 8) + 16

Reorder the terms:
-5 + 18x = 3(8 + x) + 16
-5 + 18x = (8 * 3 + x * 3) + 16
-5 + 18x = (24 + 3x) + 16

Reorder the terms:
-5 + 18x = 24 + 16 + 3x

Combine like terms: 24 + 16 = 40
-5 + 18x = 40 + 3x

Solving
-5 + 18x = 40 + 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.
-5 + 18x + -3x = 40 + 3x + -3x

Combine like terms: 18x + -3x = 15x
-5 + 15x = 40 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 15x = 40 + 0
-5 + 15x = 40

Add '5' to each side of the equation.
-5 + 5 + 15x = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 15x = 40 + 5
15x = 40 + 5

Combine like terms: 40 + 5 = 45
15x = 45

Divide each side by '15'.
x = 3

Simplifying
x = 3

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