3(x+6)=5(x-4)

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Solution for 3(x+6)=5(x-4) equation:


Simplifying
3(x + 6) = 5(x + -4)

Reorder the terms:
3(6 + x) = 5(x + -4)
(6 * 3 + x * 3) = 5(x + -4)
(18 + 3x) = 5(x + -4)

Reorder the terms:
18 + 3x = 5(-4 + x)
18 + 3x = (-4 * 5 + x * 5)
18 + 3x = (-20 + 5x)

Solving
18 + 3x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
18 + 3x + -5x = -20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
18 + -2x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
18 + -2x = -20 + 0
18 + -2x = -20

Add '-18' to each side of the equation.
18 + -18 + -2x = -20 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = -20 + -18
-2x = -20 + -18

Combine like terms: -20 + -18 = -38
-2x = -38

Divide each side by '-2'.
x = 19

Simplifying
x = 19

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