3(4x+5)-6=19+2(3x+4)

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Solution for 3(4x+5)-6=19+2(3x+4) equation:


Simplifying
3(4x + 5) + -6 = 19 + 2(3x + 4)

Reorder the terms:
3(5 + 4x) + -6 = 19 + 2(3x + 4)
(5 * 3 + 4x * 3) + -6 = 19 + 2(3x + 4)
(15 + 12x) + -6 = 19 + 2(3x + 4)

Reorder the terms:
15 + -6 + 12x = 19 + 2(3x + 4)

Combine like terms: 15 + -6 = 9
9 + 12x = 19 + 2(3x + 4)

Reorder the terms:
9 + 12x = 19 + 2(4 + 3x)
9 + 12x = 19 + (4 * 2 + 3x * 2)
9 + 12x = 19 + (8 + 6x)

Combine like terms: 19 + 8 = 27
9 + 12x = 27 + 6x

Solving
9 + 12x = 27 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
9 + 12x + -6x = 27 + 6x + -6x

Combine like terms: 12x + -6x = 6x
9 + 6x = 27 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + 6x = 27 + 0
9 + 6x = 27

Add '-9' to each side of the equation.
9 + -9 + 6x = 27 + -9

Combine like terms: 9 + -9 = 0
0 + 6x = 27 + -9
6x = 27 + -9

Combine like terms: 27 + -9 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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