2(x+1)+3(x-5)=6

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Solution for 2(x+1)+3(x-5)=6 equation: 


Simplifying
2(x + 1) + 3(x + -5) = 6

Reorder the terms:
2(1 + x) + 3(x + -5) = 6
(1 * 2 + x * 2) + 3(x + -5) = 6
(2 + 2x) + 3(x + -5) = 6

Reorder the terms:
2 + 2x + 3(-5 + x) = 6
2 + 2x + (-5 * 3 + x * 3) = 6
2 + 2x + (-15 + 3x) = 6

Reorder the terms:
2 + -15 + 2x + 3x = 6

Combine like terms: 2 + -15 = -13
-13 + 2x + 3x = 6

Combine like terms: 2x + 3x = 5x
-13 + 5x = 6

Solving
-13 + 5x = 6

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 + 5x = 6 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 6 + 13
5x = 6 + 13

Combine like terms: 6 + 13 = 19
5x = 19

Divide each side by '5'.
x = 3.8

Simplifying
x = 3.8

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