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

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


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

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

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

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

Combine like terms: 2 + -15 = -13
-13 + 2x + -5x = 2

Combine like terms: 2x + -5x = -3x
-13 + -3x = 2

Solving
-13 + -3x = 2

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -3x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + -3x = 2 + 13
-3x = 2 + 13

Combine like terms: 2 + 13 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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