6(x+5)=3(x-14)

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Solution for 6(x+5)=3(x-14) equation: 


Simplifying
6(x + 5) = 3(x + -14)

Reorder the terms:
6(5 + x) = 3(x + -14)
(5 * 6 + x * 6) = 3(x + -14)
(30 + 6x) = 3(x + -14)

Reorder the terms:
30 + 6x = 3(-14 + x)
30 + 6x = (-14 * 3 + x * 3)
30 + 6x = (-42 + 3x)

Solving
30 + 6x = -42 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
30 + 6x + -3x = -42 + 3x + -3x

Combine like terms: 6x + -3x = 3x
30 + 3x = -42 + 3x + -3x

Combine like terms: 3x + -3x = 0
30 + 3x = -42 + 0
30 + 3x = -42

Add '-30' to each side of the equation.
30 + -30 + 3x = -42 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = -42 + -30
3x = -42 + -30

Combine like terms: -42 + -30 = -72
3x = -72

Divide each side by '3'.
x = -24

Simplifying
x = -24

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