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

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


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

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

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

Reorder the terms:
8 + 1 + 8x + -5x = 1

Combine like terms: 8 + 1 = 9
9 + 8x + -5x = 1

Combine like terms: 8x + -5x = 3x
9 + 3x = 1

Solving
9 + 3x = 1

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 3x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 3x = 1 + -9
3x = 1 + -9

Combine like terms: 1 + -9 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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