(8(x+5)-19)+(3(x-2)+3)=

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Solution for (8(x+5)-19)+(3(x-2)+3)= equation:


Simplifying
(8(x + 5) + -19) + (3(x + -2) + 3) = 0

Reorder the terms:
(8(5 + x) + -19) + (3(x + -2) + 3) = 0
((5 * 8 + x * 8) + -19) + (3(x + -2) + 3) = 0
((40 + 8x) + -19) + (3(x + -2) + 3) = 0

Reorder the terms:
(40 + -19 + 8x) + (3(x + -2) + 3) = 0

Combine like terms: 40 + -19 = 21
(21 + 8x) + (3(x + -2) + 3) = 0

Remove parenthesis around (21 + 8x)
21 + 8x + (3(x + -2) + 3) = 0

Reorder the terms:
21 + 8x + (3(-2 + x) + 3) = 0
21 + 8x + ((-2 * 3 + x * 3) + 3) = 0
21 + 8x + ((-6 + 3x) + 3) = 0

Reorder the terms:
21 + 8x + (-6 + 3 + 3x) = 0

Combine like terms: -6 + 3 = -3
21 + 8x + (-3 + 3x) = 0

Remove parenthesis around (-3 + 3x)
21 + 8x + -3 + 3x = 0

Reorder the terms:
21 + -3 + 8x + 3x = 0

Combine like terms: 21 + -3 = 18
18 + 8x + 3x = 0

Combine like terms: 8x + 3x = 11x
18 + 11x = 0

Solving
18 + 11x = 0

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 11x = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 11x = 0 + -18
11x = 0 + -18

Combine like terms: 0 + -18 = -18
11x = -18

Divide each side by '11'.
x = -1.636363636

Simplifying
x = -1.636363636

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