5(3x+6)=6-(x+8)

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Solution for 5(3x+6)=6-(x+8) equation:


Simplifying
5(3x + 6) = 6 + -1(x + 8)

Reorder the terms:
5(6 + 3x) = 6 + -1(x + 8)
(6 * 5 + 3x * 5) = 6 + -1(x + 8)
(30 + 15x) = 6 + -1(x + 8)

Reorder the terms:
30 + 15x = 6 + -1(8 + x)
30 + 15x = 6 + (8 * -1 + x * -1)
30 + 15x = 6 + (-8 + -1x)

Combine like terms: 6 + -8 = -2
30 + 15x = -2 + -1x

Solving
30 + 15x = -2 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
30 + 15x + x = -2 + -1x + x

Combine like terms: 15x + x = 16x
30 + 16x = -2 + -1x + x

Combine like terms: -1x + x = 0
30 + 16x = -2 + 0
30 + 16x = -2

Add '-30' to each side of the equation.
30 + -30 + 16x = -2 + -30

Combine like terms: 30 + -30 = 0
0 + 16x = -2 + -30
16x = -2 + -30

Combine like terms: -2 + -30 = -32
16x = -32

Divide each side by '16'.
x = -2

Simplifying
x = -2

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