3(x+5)-2(3x-1)=45

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Solution for 3(x+5)-2(3x-1)=45 equation: 


Simplifying
3(x + 5) + -2(3x + -1) = 45

Reorder the terms:
3(5 + x) + -2(3x + -1) = 45
(5 * 3 + x * 3) + -2(3x + -1) = 45
(15 + 3x) + -2(3x + -1) = 45

Reorder the terms:
15 + 3x + -2(-1 + 3x) = 45
15 + 3x + (-1 * -2 + 3x * -2) = 45
15 + 3x + (2 + -6x) = 45

Reorder the terms:
15 + 2 + 3x + -6x = 45

Combine like terms: 15 + 2 = 17
17 + 3x + -6x = 45

Combine like terms: 3x + -6x = -3x
17 + -3x = 45

Solving
17 + -3x = 45

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 45 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 45 + -17
-3x = 45 + -17

Combine like terms: 45 + -17 = 28
-3x = 28

Divide each side by '-3'.
x = -9.333333333

Simplifying
x = -9.333333333

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