8(x+1)-(5x-9)=3

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Solution for 8(x+1)-(5x-9)=3 equation:


Simplifying
8(x + 1) + -1(5x + -9) = 3

Reorder the terms:
8(1 + x) + -1(5x + -9) = 3
(1 * 8 + x * 8) + -1(5x + -9) = 3
(8 + 8x) + -1(5x + -9) = 3

Reorder the terms:
8 + 8x + -1(-9 + 5x) = 3
8 + 8x + (-9 * -1 + 5x * -1) = 3
8 + 8x + (9 + -5x) = 3

Reorder the terms:
8 + 9 + 8x + -5x = 3

Combine like terms: 8 + 9 = 17
17 + 8x + -5x = 3

Combine like terms: 8x + -5x = 3x
17 + 3x = 3

Solving
17 + 3x = 3

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 + 3x = 3 + -17

Combine like terms: 17 + -17 = 0
0 + 3x = 3 + -17
3x = 3 + -17

Combine like terms: 3 + -17 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667

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