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

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


Simplifying
2 + -3(x + -14) = 9 + -1(3 + 2x)

Reorder the terms:
2 + -3(-14 + x) = 9 + -1(3 + 2x)
2 + (-14 * -3 + x * -3) = 9 + -1(3 + 2x)
2 + (42 + -3x) = 9 + -1(3 + 2x)

Combine like terms: 2 + 42 = 44
44 + -3x = 9 + -1(3 + 2x)
44 + -3x = 9 + (3 * -1 + 2x * -1)
44 + -3x = 9 + (-3 + -2x)

Combine like terms: 9 + -3 = 6
44 + -3x = 6 + -2x

Solving
44 + -3x = 6 + -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.
44 + -3x + 2x = 6 + -2x + 2x

Combine like terms: -3x + 2x = -1x
44 + -1x = 6 + -2x + 2x

Combine like terms: -2x + 2x = 0
44 + -1x = 6 + 0
44 + -1x = 6

Add '-44' to each side of the equation.
44 + -44 + -1x = 6 + -44

Combine like terms: 44 + -44 = 0
0 + -1x = 6 + -44
-1x = 6 + -44

Combine like terms: 6 + -44 = -38
-1x = -38

Divide each side by '-1'.
x = 38

Simplifying
x = 38

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