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

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


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

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

Reorder the terms:
2 + 2x + -5(-3 + x) = 5
2 + 2x + (-3 * -5 + x * -5) = 5
2 + 2x + (15 + -5x) = 5

Reorder the terms:
2 + 15 + 2x + -5x = 5

Combine like terms: 2 + 15 = 17
17 + 2x + -5x = 5

Combine like terms: 2x + -5x = -3x
17 + -3x = 5

Solving
17 + -3x = 5

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -3x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -3x = 5 + -17
-3x = 5 + -17

Combine like terms: 5 + -17 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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