8(x+3)+7(x-1)=0

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Solution for 8(x+3)+7(x-1)=0 equation:


Simplifying
8(x + 3) + 7(x + -1) = 0

Reorder the terms:
8(3 + x) + 7(x + -1) = 0
(3 * 8 + x * 8) + 7(x + -1) = 0
(24 + 8x) + 7(x + -1) = 0

Reorder the terms:
24 + 8x + 7(-1 + x) = 0
24 + 8x + (-1 * 7 + x * 7) = 0
24 + 8x + (-7 + 7x) = 0

Reorder the terms:
24 + -7 + 8x + 7x = 0

Combine like terms: 24 + -7 = 17
17 + 8x + 7x = 0

Combine like terms: 8x + 7x = 15x
17 + 15x = 0

Solving
17 + 15x = 0

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + 15x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 15x = 0 + -17
15x = 0 + -17

Combine like terms: 0 + -17 = -17
15x = -17

Divide each side by '15'.
x = -1.133333333

Simplifying
x = -1.133333333

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