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

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


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

Reorder the terms:
3(6 + x) = 6 + -5(x + 1)
(6 * 3 + x * 3) = 6 + -5(x + 1)
(18 + 3x) = 6 + -5(x + 1)

Reorder the terms:
18 + 3x = 6 + -5(1 + x)
18 + 3x = 6 + (1 * -5 + x * -5)
18 + 3x = 6 + (-5 + -5x)

Combine like terms: 6 + -5 = 1
18 + 3x = 1 + -5x

Solving
18 + 3x = 1 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
18 + 3x + 5x = 1 + -5x + 5x

Combine like terms: 3x + 5x = 8x
18 + 8x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
18 + 8x = 1 + 0
18 + 8x = 1

Add '-18' to each side of the equation.
18 + -18 + 8x = 1 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = 1 + -18
8x = 1 + -18

Combine like terms: 1 + -18 = -17
8x = -17

Divide each side by '8'.
x = -2.125

Simplifying
x = -2.125

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