2(x+1)-3(9-x)=-5

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Solution for 2(x+1)-3(9-x)=-5 equation: 


Simplifying
2(x + 1) + -3(9 + -1x) = -5

Reorder the terms:
2(1 + x) + -3(9 + -1x) = -5
(1 * 2 + x * 2) + -3(9 + -1x) = -5
(2 + 2x) + -3(9 + -1x) = -5
2 + 2x + (9 * -3 + -1x * -3) = -5
2 + 2x + (-27 + 3x) = -5

Reorder the terms:
2 + -27 + 2x + 3x = -5

Combine like terms: 2 + -27 = -25
-25 + 2x + 3x = -5

Combine like terms: 2x + 3x = 5x
-25 + 5x = -5

Solving
-25 + 5x = -5

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 5x = -5 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = -5 + 25
5x = -5 + 25

Combine like terms: -5 + 25 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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