2(x+3)+3(x+4)-2=14

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Solution for 2(x+3)+3(x+4)-2=14 equation: 


Simplifying
2(x + 3) + 3(x + 4) + -2 = 14

Reorder the terms:
2(3 + x) + 3(x + 4) + -2 = 14
(3 * 2 + x * 2) + 3(x + 4) + -2 = 14
(6 + 2x) + 3(x + 4) + -2 = 14

Reorder the terms:
6 + 2x + 3(4 + x) + -2 = 14
6 + 2x + (4 * 3 + x * 3) + -2 = 14
6 + 2x + (12 + 3x) + -2 = 14

Reorder the terms:
6 + 12 + -2 + 2x + 3x = 14

Combine like terms: 6 + 12 = 18
18 + -2 + 2x + 3x = 14

Combine like terms: 18 + -2 = 16
16 + 2x + 3x = 14

Combine like terms: 2x + 3x = 5x
16 + 5x = 14

Solving
16 + 5x = 14

Solving for variable 'x'.

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

Add '-16' to each side of the equation.
16 + -16 + 5x = 14 + -16

Combine like terms: 16 + -16 = 0
0 + 5x = 14 + -16
5x = 14 + -16

Combine like terms: 14 + -16 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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