6(x+5)-(3x-8)=

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Solution for 6(x+5)-(3x-8)= equation:


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

Reorder the terms:
6(5 + x) + -1(3x + -8) = 0
(5 * 6 + x * 6) + -1(3x + -8) = 0
(30 + 6x) + -1(3x + -8) = 0

Reorder the terms:
30 + 6x + -1(-8 + 3x) = 0
30 + 6x + (-8 * -1 + 3x * -1) = 0
30 + 6x + (8 + -3x) = 0

Reorder the terms:
30 + 8 + 6x + -3x = 0

Combine like terms: 30 + 8 = 38
38 + 6x + -3x = 0

Combine like terms: 6x + -3x = 3x
38 + 3x = 0

Solving
38 + 3x = 0

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 3x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 3x = 0 + -38
3x = 0 + -38

Combine like terms: 0 + -38 = -38
3x = -38

Divide each side by '3'.
x = -12.66666667

Simplifying
x = -12.66666667

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