(4x+1)-(x-8)=0

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Solution for (4x+1)-(x-8)=0 equation:


Simplifying
(4x + 1) + -1(x + -8) = 0

Reorder the terms:
(1 + 4x) + -1(x + -8) = 0

Remove parenthesis around (1 + 4x)
1 + 4x + -1(x + -8) = 0

Reorder the terms:
1 + 4x + -1(-8 + x) = 0
1 + 4x + (-8 * -1 + x * -1) = 0
1 + 4x + (8 + -1x) = 0

Reorder the terms:
1 + 8 + 4x + -1x = 0

Combine like terms: 1 + 8 = 9
9 + 4x + -1x = 0

Combine like terms: 4x + -1x = 3x
9 + 3x = 0

Solving
9 + 3x = 0

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 = 0 + -9

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

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

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

Simplifying
x = -3

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