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

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


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

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

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

Combine like terms: 32 + -2 = 30
30 + 8x = 3(x + -2)

Reorder the terms:
30 + 8x = 3(-2 + x)
30 + 8x = (-2 * 3 + x * 3)
30 + 8x = (-6 + 3x)

Solving
30 + 8x = -6 + 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.
30 + 8x + -3x = -6 + 3x + -3x

Combine like terms: 8x + -3x = 5x
30 + 5x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 5x = -6 + 0
30 + 5x = -6

Add '-30' to each side of the equation.
30 + -30 + 5x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = -6 + -30
5x = -6 + -30

Combine like terms: -6 + -30 = -36
5x = -36

Divide each side by '5'.
x = -7.2

Simplifying
x = -7.2

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