14+3(x+2)=3-2(x+9)

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Solution for 14+3(x+2)=3-2(x+9) equation: 


Simplifying
14 + 3(x + 2) = 3 + -2(x + 9)

Reorder the terms:
14 + 3(2 + x) = 3 + -2(x + 9)
14 + (2 * 3 + x * 3) = 3 + -2(x + 9)
14 + (6 + 3x) = 3 + -2(x + 9)

Combine like terms: 14 + 6 = 20
20 + 3x = 3 + -2(x + 9)

Reorder the terms:
20 + 3x = 3 + -2(9 + x)
20 + 3x = 3 + (9 * -2 + x * -2)
20 + 3x = 3 + (-18 + -2x)

Combine like terms: 3 + -18 = -15
20 + 3x = -15 + -2x

Solving
20 + 3x = -15 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
20 + 3x + 2x = -15 + -2x + 2x

Combine like terms: 3x + 2x = 5x
20 + 5x = -15 + -2x + 2x

Combine like terms: -2x + 2x = 0
20 + 5x = -15 + 0
20 + 5x = -15

Add '-20' to each side of the equation.
20 + -20 + 5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = -15 + -20
5x = -15 + -20

Combine like terms: -15 + -20 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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