6(x+5)-(3x-7)=0

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Solution for 6(x+5)-(3x-7)=0 equation: 


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

Reorder the terms:
6(5 + x) + -1(3x + -7) = 0
(5 * 6 + x * 6) + -1(3x + -7) = 0
(30 + 6x) + -1(3x + -7) = 0

Reorder the terms:
30 + 6x + -1(-7 + 3x) = 0
30 + 6x + (-7 * -1 + 3x * -1) = 0
30 + 6x + (7 + -3x) = 0

Reorder the terms:
30 + 7 + 6x + -3x = 0

Combine like terms: 30 + 7 = 37
37 + 6x + -3x = 0

Combine like terms: 6x + -3x = 3x
37 + 3x = 0

Solving
37 + 3x = 0

Solving for variable 'x'.

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

Add '-37' to each side of the equation.
37 + -37 + 3x = 0 + -37

Combine like terms: 37 + -37 = 0
0 + 3x = 0 + -37
3x = 0 + -37

Combine like terms: 0 + -37 = -37
3x = -37

Divide each side by '3'.
x = -12.33333333

Simplifying
x = -12.33333333

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