3(x+6)=2(4x+19)

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Solution for 3(x+6)=2(4x+19) equation:


Simplifying
3(x + 6) = 2(4x + 19)

Reorder the terms:
3(6 + x) = 2(4x + 19)
(6 * 3 + x * 3) = 2(4x + 19)
(18 + 3x) = 2(4x + 19)

Reorder the terms:
18 + 3x = 2(19 + 4x)
18 + 3x = (19 * 2 + 4x * 2)
18 + 3x = (38 + 8x)

Solving
18 + 3x = 38 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
18 + 3x + -8x = 38 + 8x + -8x

Combine like terms: 3x + -8x = -5x
18 + -5x = 38 + 8x + -8x

Combine like terms: 8x + -8x = 0
18 + -5x = 38 + 0
18 + -5x = 38

Add '-18' to each side of the equation.
18 + -18 + -5x = 38 + -18

Combine like terms: 18 + -18 = 0
0 + -5x = 38 + -18
-5x = 38 + -18

Combine like terms: 38 + -18 = 20
-5x = 20

Divide each side by '-5'.
x = -4

Simplifying
x = -4

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