(x+2)-3(2x-9)=-5

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Solution for (x+2)-3(2x-9)=-5 equation: 


Simplifying
(x + 2) + -3(2x + -9) = -5

Reorder the terms:
(2 + x) + -3(2x + -9) = -5

Remove parenthesis around (2 + x)
2 + x + -3(2x + -9) = -5

Reorder the terms:
2 + x + -3(-9 + 2x) = -5
2 + x + (-9 * -3 + 2x * -3) = -5
2 + x + (27 + -6x) = -5

Reorder the terms:
2 + 27 + x + -6x = -5

Combine like terms: 2 + 27 = 29
29 + x + -6x = -5

Combine like terms: x + -6x = -5x
29 + -5x = -5

Solving
29 + -5x = -5

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + -5x = -5 + -29

Combine like terms: 29 + -29 = 0
0 + -5x = -5 + -29
-5x = -5 + -29

Combine like terms: -5 + -29 = -34
-5x = -34

Divide each side by '-5'.
x = 6.8

Simplifying
x = 6.8

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