(3x-12)+(2x+5)=14

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Solution for (3x-12)+(2x+5)=14 equation:


Simplifying
(3x + -12) + (2x + 5) = 14

Reorder the terms:
(-12 + 3x) + (2x + 5) = 14

Remove parenthesis around (-12 + 3x)
-12 + 3x + (2x + 5) = 14

Reorder the terms:
-12 + 3x + (5 + 2x) = 14

Remove parenthesis around (5 + 2x)
-12 + 3x + 5 + 2x = 14

Reorder the terms:
-12 + 5 + 3x + 2x = 14

Combine like terms: -12 + 5 = -7
-7 + 3x + 2x = 14

Combine like terms: 3x + 2x = 5x
-7 + 5x = 14

Solving
-7 + 5x = 14

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 14 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 14 + 7
5x = 14 + 7

Combine like terms: 14 + 7 = 21
5x = 21

Divide each side by '5'.
x = 4.2

Simplifying
x = 4.2

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