3(x+1)=8x-1

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


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

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

Reorder the terms:
3 + 3x = -1 + 8x

Solving
3 + 3x = -1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
3 + 3x + -8x = -1 + 8x + -8x

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

Combine like terms: 8x + -8x = 0
3 + -5x = -1 + 0
3 + -5x = -1

Add '-3' to each side of the equation.
3 + -3 + -5x = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -1 + -3
-5x = -1 + -3

Combine like terms: -1 + -3 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8

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