6+4(x+3)=-3(x+8)

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Solution for 6+4(x+3)=-3(x+8) equation: 


Simplifying
6 + 4(x + 3) = -3(x + 8)

Reorder the terms:
6 + 4(3 + x) = -3(x + 8)
6 + (3 * 4 + x * 4) = -3(x + 8)
6 + (12 + 4x) = -3(x + 8)

Combine like terms: 6 + 12 = 18
18 + 4x = -3(x + 8)

Reorder the terms:
18 + 4x = -3(8 + x)
18 + 4x = (8 * -3 + x * -3)
18 + 4x = (-24 + -3x)

Solving
18 + 4x = -24 + -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.
18 + 4x + 3x = -24 + -3x + 3x

Combine like terms: 4x + 3x = 7x
18 + 7x = -24 + -3x + 3x

Combine like terms: -3x + 3x = 0
18 + 7x = -24 + 0
18 + 7x = -24

Add '-18' to each side of the equation.
18 + -18 + 7x = -24 + -18

Combine like terms: 18 + -18 = 0
0 + 7x = -24 + -18
7x = -24 + -18

Combine like terms: -24 + -18 = -42
7x = -42

Divide each side by '7'.
x = -6

Simplifying
x = -6

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