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

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


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

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

Reorder the terms:
-9 + 3x + 2(5 + x) = 16
-9 + 3x + (5 * 2 + x * 2) = 16
-9 + 3x + (10 + 2x) = 16

Reorder the terms:
-9 + 10 + 3x + 2x = 16

Combine like terms: -9 + 10 = 1
1 + 3x + 2x = 16

Combine like terms: 3x + 2x = 5x
1 + 5x = 16

Solving
1 + 5x = 16

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 16 + -1
5x = 16 + -1

Combine like terms: 16 + -1 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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