6(x+3)-(x-4)=-11

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Solution for 6(x+3)-(x-4)=-11 equation: 


Simplifying
6(x + 3) + -1(x + -4) = -11

Reorder the terms:
6(3 + x) + -1(x + -4) = -11
(3 * 6 + x * 6) + -1(x + -4) = -11
(18 + 6x) + -1(x + -4) = -11

Reorder the terms:
18 + 6x + -1(-4 + x) = -11
18 + 6x + (-4 * -1 + x * -1) = -11
18 + 6x + (4 + -1x) = -11

Reorder the terms:
18 + 4 + 6x + -1x = -11

Combine like terms: 18 + 4 = 22
22 + 6x + -1x = -11

Combine like terms: 6x + -1x = 5x
22 + 5x = -11

Solving
22 + 5x = -11

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + 5x = -11 + -22

Combine like terms: 22 + -22 = 0
0 + 5x = -11 + -22
5x = -11 + -22

Combine like terms: -11 + -22 = -33
5x = -33

Divide each side by '5'.
x = -6.6

Simplifying
x = -6.6

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