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

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


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

Reorder the terms:
8(2 + x) + 4 = -3(x + -6) + -3
(2 * 8 + x * 8) + 4 = -3(x + -6) + -3
(16 + 8x) + 4 = -3(x + -6) + -3

Reorder the terms:
16 + 4 + 8x = -3(x + -6) + -3

Combine like terms: 16 + 4 = 20
20 + 8x = -3(x + -6) + -3

Reorder the terms:
20 + 8x = -3(-6 + x) + -3
20 + 8x = (-6 * -3 + x * -3) + -3
20 + 8x = (18 + -3x) + -3

Reorder the terms:
20 + 8x = 18 + -3 + -3x

Combine like terms: 18 + -3 = 15
20 + 8x = 15 + -3x

Solving
20 + 8x = 15 + -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.
20 + 8x + 3x = 15 + -3x + 3x

Combine like terms: 8x + 3x = 11x
20 + 11x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
20 + 11x = 15 + 0
20 + 11x = 15

Add '-20' to each side of the equation.
20 + -20 + 11x = 15 + -20

Combine like terms: 20 + -20 = 0
0 + 11x = 15 + -20
11x = 15 + -20

Combine like terms: 15 + -20 = -5
11x = -5

Divide each side by '11'.
x = -0.4545454545

Simplifying
x = -0.4545454545

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