4(9x+1)+5(3x+7)-6(x-8)=0

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Solution for 4(9x+1)+5(3x+7)-6(x-8)=0 equation:


Simplifying
4(9x + 1) + 5(3x + 7) + -6(x + -8) = 0

Reorder the terms:
4(1 + 9x) + 5(3x + 7) + -6(x + -8) = 0
(1 * 4 + 9x * 4) + 5(3x + 7) + -6(x + -8) = 0
(4 + 36x) + 5(3x + 7) + -6(x + -8) = 0

Reorder the terms:
4 + 36x + 5(7 + 3x) + -6(x + -8) = 0
4 + 36x + (7 * 5 + 3x * 5) + -6(x + -8) = 0
4 + 36x + (35 + 15x) + -6(x + -8) = 0

Reorder the terms:
4 + 36x + 35 + 15x + -6(-8 + x) = 0
4 + 36x + 35 + 15x + (-8 * -6 + x * -6) = 0
4 + 36x + 35 + 15x + (48 + -6x) = 0

Reorder the terms:
4 + 35 + 48 + 36x + 15x + -6x = 0

Combine like terms: 4 + 35 = 39
39 + 48 + 36x + 15x + -6x = 0

Combine like terms: 39 + 48 = 87
87 + 36x + 15x + -6x = 0

Combine like terms: 36x + 15x = 51x
87 + 51x + -6x = 0

Combine like terms: 51x + -6x = 45x
87 + 45x = 0

Solving
87 + 45x = 0

Solving for variable 'x'.

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

Add '-87' to each side of the equation.
87 + -87 + 45x = 0 + -87

Combine like terms: 87 + -87 = 0
0 + 45x = 0 + -87
45x = 0 + -87

Combine like terms: 0 + -87 = -87
45x = -87

Divide each side by '45'.
x = -1.933333333

Simplifying
x = -1.933333333

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