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

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


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

Reorder the terms:
2x + -2(5 + x) = 6 + 3(x + 1)
2x + (5 * -2 + x * -2) = 6 + 3(x + 1)
2x + (-10 + -2x) = 6 + 3(x + 1)

Reorder the terms:
-10 + 2x + -2x = 6 + 3(x + 1)

Combine like terms: 2x + -2x = 0
-10 + 0 = 6 + 3(x + 1)
-10 = 6 + 3(x + 1)

Reorder the terms:
-10 = 6 + 3(1 + x)
-10 = 6 + (1 * 3 + x * 3)
-10 = 6 + (3 + 3x)

Combine like terms: 6 + 3 = 9
-10 = 9 + 3x

Solving
-10 = 9 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + -3x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -3x = 9 + 0
-10 + -3x = 9

Add '10' to each side of the equation.
-10 + 10 + -3x = 9 + 10

Combine like terms: -10 + 10 = 0
0 + -3x = 9 + 10
-3x = 9 + 10

Combine like terms: 9 + 10 = 19
-3x = 19

Divide each side by '-3'.
x = -6.333333333

Simplifying
x = -6.333333333

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