(x+8)+(4x-5)+(7x+4)=89

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Solution for (x+8)+(4x-5)+(7x+4)=89 equation:


Simplifying
(x + 8) + (4x + -5) + (7x + 4) = 89

Reorder the terms:
(8 + x) + (4x + -5) + (7x + 4) = 89

Remove parenthesis around (8 + x)
8 + x + (4x + -5) + (7x + 4) = 89

Reorder the terms:
8 + x + (-5 + 4x) + (7x + 4) = 89

Remove parenthesis around (-5 + 4x)
8 + x + -5 + 4x + (7x + 4) = 89

Reorder the terms:
8 + x + -5 + 4x + (4 + 7x) = 89

Remove parenthesis around (4 + 7x)
8 + x + -5 + 4x + 4 + 7x = 89

Reorder the terms:
8 + -5 + 4 + x + 4x + 7x = 89

Combine like terms: 8 + -5 = 3
3 + 4 + x + 4x + 7x = 89

Combine like terms: 3 + 4 = 7
7 + x + 4x + 7x = 89

Combine like terms: x + 4x = 5x
7 + 5x + 7x = 89

Combine like terms: 5x + 7x = 12x
7 + 12x = 89

Solving
7 + 12x = 89

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 12x = 89 + -7

Combine like terms: 7 + -7 = 0
0 + 12x = 89 + -7
12x = 89 + -7

Combine like terms: 89 + -7 = 82
12x = 82

Divide each side by '12'.
x = 6.833333333

Simplifying
x = 6.833333333

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