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

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


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

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

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

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

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

Combine like terms: 19 + 18 = 37
19 + 3x = 37 + -3x

Solving
19 + 3x = 37 + -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.
19 + 3x + 3x = 37 + -3x + 3x

Combine like terms: 3x + 3x = 6x
19 + 6x = 37 + -3x + 3x

Combine like terms: -3x + 3x = 0
19 + 6x = 37 + 0
19 + 6x = 37

Add '-19' to each side of the equation.
19 + -19 + 6x = 37 + -19

Combine like terms: 19 + -19 = 0
0 + 6x = 37 + -19
6x = 37 + -19

Combine like terms: 37 + -19 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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