2(x+3)-5(x-1)=30

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Solution for 2(x+3)-5(x-1)=30 equation: 


Simplifying
2(x + 3) + -5(x + -1) = 30

Reorder the terms:
2(3 + x) + -5(x + -1) = 30
(3 * 2 + x * 2) + -5(x + -1) = 30
(6 + 2x) + -5(x + -1) = 30

Reorder the terms:
6 + 2x + -5(-1 + x) = 30
6 + 2x + (-1 * -5 + x * -5) = 30
6 + 2x + (5 + -5x) = 30

Reorder the terms:
6 + 5 + 2x + -5x = 30

Combine like terms: 6 + 5 = 11
11 + 2x + -5x = 30

Combine like terms: 2x + -5x = -3x
11 + -3x = 30

Solving
11 + -3x = 30

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -3x = 30 + -11

Combine like terms: 11 + -11 = 0
0 + -3x = 30 + -11
-3x = 30 + -11

Combine like terms: 30 + -11 = 19
-3x = 19

Divide each side by '-3'.
x = -6.333333333

Simplifying
x = -6.333333333

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