(4x+1)+8-(x+6)=9

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Solution for (4x+1)+8-(x+6)=9 equation:


Simplifying
(4x + 1) + 8 + -1(x + 6) = 9

Reorder the terms:
(1 + 4x) + 8 + -1(x + 6) = 9

Remove parenthesis around (1 + 4x)
1 + 4x + 8 + -1(x + 6) = 9

Reorder the terms:
1 + 4x + 8 + -1(6 + x) = 9
1 + 4x + 8 + (6 * -1 + x * -1) = 9
1 + 4x + 8 + (-6 + -1x) = 9

Reorder the terms:
1 + 8 + -6 + 4x + -1x = 9

Combine like terms: 1 + 8 = 9
9 + -6 + 4x + -1x = 9

Combine like terms: 9 + -6 = 3
3 + 4x + -1x = 9

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

Solving
3 + 3x = 9

Solving for variable 'x'.

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

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

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

Combine like terms: 9 + -3 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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