2(x+3)+5=3x-14

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Solution for 2(x+3)+5=3x-14 equation:


Simplifying
2(x + 3) + 5 = 3x + -14

Reorder the terms:
2(3 + x) + 5 = 3x + -14
(3 * 2 + x * 2) + 5 = 3x + -14
(6 + 2x) + 5 = 3x + -14

Reorder the terms:
6 + 5 + 2x = 3x + -14

Combine like terms: 6 + 5 = 11
11 + 2x = 3x + -14

Reorder the terms:
11 + 2x = -14 + 3x

Solving
11 + 2x = -14 + 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.
11 + 2x + -3x = -14 + 3x + -3x

Combine like terms: 2x + -3x = -1x
11 + -1x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
11 + -1x = -14 + 0
11 + -1x = -14

Add '-11' to each side of the equation.
11 + -11 + -1x = -14 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = -14 + -11
-1x = -14 + -11

Combine like terms: -14 + -11 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

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