2(x+30)=3x-5

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


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

Reorder the terms:
2(30 + x) = 3x + -5
(30 * 2 + x * 2) = 3x + -5
(60 + 2x) = 3x + -5

Reorder the terms:
60 + 2x = -5 + 3x

Solving
60 + 2x = -5 + 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.
60 + 2x + -3x = -5 + 3x + -3x

Combine like terms: 2x + -3x = -1x
60 + -1x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + -1x = -5 + 0
60 + -1x = -5

Add '-60' to each side of the equation.
60 + -60 + -1x = -5 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = -5 + -60
-1x = -5 + -60

Combine like terms: -5 + -60 = -65
-1x = -65

Divide each side by '-1'.
x = 65

Simplifying
x = 65

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