-4(x+1)-6=2(x+8)

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Solution for -4(x+1)-6=2(x+8) equation:


Simplifying
-4(x + 1) + -6 = 2(x + 8)

Reorder the terms:
-4(1 + x) + -6 = 2(x + 8)
(1 * -4 + x * -4) + -6 = 2(x + 8)
(-4 + -4x) + -6 = 2(x + 8)

Reorder the terms:
-4 + -6 + -4x = 2(x + 8)

Combine like terms: -4 + -6 = -10
-10 + -4x = 2(x + 8)

Reorder the terms:
-10 + -4x = 2(8 + x)
-10 + -4x = (8 * 2 + x * 2)
-10 + -4x = (16 + 2x)

Solving
-10 + -4x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + -4x + -2x = 16 + 2x + -2x

Combine like terms: -4x + -2x = -6x
-10 + -6x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -6x = 16 + 0
-10 + -6x = 16

Add '10' to each side of the equation.
-10 + 10 + -6x = 16 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = 16 + 10
-6x = 16 + 10

Combine like terms: 16 + 10 = 26
-6x = 26

Divide each side by '-6'.
x = -4.333333333

Simplifying
x = -4.333333333

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