4(2x+8)=-2+3(2x+6)

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Solution for 4(2x+8)=-2+3(2x+6) equation: 


Simplifying
4(2x + 8) = -2 + 3(2x + 6)

Reorder the terms:
4(8 + 2x) = -2 + 3(2x + 6)
(8 * 4 + 2x * 4) = -2 + 3(2x + 6)
(32 + 8x) = -2 + 3(2x + 6)

Reorder the terms:
32 + 8x = -2 + 3(6 + 2x)
32 + 8x = -2 + (6 * 3 + 2x * 3)
32 + 8x = -2 + (18 + 6x)

Combine like terms: -2 + 18 = 16
32 + 8x = 16 + 6x

Solving
32 + 8x = 16 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
32 + 8x + -6x = 16 + 6x + -6x

Combine like terms: 8x + -6x = 2x
32 + 2x = 16 + 6x + -6x

Combine like terms: 6x + -6x = 0
32 + 2x = 16 + 0
32 + 2x = 16

Add '-32' to each side of the equation.
32 + -32 + 2x = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = 16 + -32
2x = 16 + -32

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

Divide each side by '2'.
x = -8

Simplifying
x = -8

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