3(x-5)=9-3x+6+8+3x+7

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Solution for 3(x-5)=9-3x+6+8+3x+7 equation: 


Simplifying
3(x + -5) = 9 + -3x + 6 + 8 + 3x + 7

Reorder the terms:
3(-5 + x) = 9 + -3x + 6 + 8 + 3x + 7
(-5 * 3 + x * 3) = 9 + -3x + 6 + 8 + 3x + 7
(-15 + 3x) = 9 + -3x + 6 + 8 + 3x + 7

Reorder the terms:
-15 + 3x = 9 + 6 + 8 + 7 + -3x + 3x

Combine like terms: 9 + 6 = 15
-15 + 3x = 15 + 8 + 7 + -3x + 3x

Combine like terms: 15 + 8 = 23
-15 + 3x = 23 + 7 + -3x + 3x

Combine like terms: 23 + 7 = 30
-15 + 3x = 30 + -3x + 3x

Combine like terms: -3x + 3x = 0
-15 + 3x = 30 + 0
-15 + 3x = 30

Solving
-15 + 3x = 30

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 3x = 30 + 15

Combine like terms: -15 + 15 = 0
0 + 3x = 30 + 15
3x = 30 + 15

Combine like terms: 30 + 15 = 45
3x = 45

Divide each side by '3'.
x = 15

Simplifying
x = 15

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