(8x+1)=(5x-2)

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Solution for (8x+1)=(5x-2) equation:


Simplifying
(8x + 1) = (5x + -2)

Reorder the terms:
(1 + 8x) = (5x + -2)

Remove parenthesis around (1 + 8x)
1 + 8x = (5x + -2)

Reorder the terms:
1 + 8x = (-2 + 5x)

Remove parenthesis around (-2 + 5x)
1 + 8x = -2 + 5x

Solving
1 + 8x = -2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 8x + -5x = -2 + 5x + -5x

Combine like terms: 8x + -5x = 3x
1 + 3x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 3x = -2 + 0
1 + 3x = -2

Add '-1' to each side of the equation.
1 + -1 + 3x = -2 + -1

Combine like terms: 1 + -1 = 0
0 + 3x = -2 + -1
3x = -2 + -1

Combine like terms: -2 + -1 = -3
3x = -3

Divide each side by '3'.
x = -1

Simplifying
x = -1

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