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

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


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

Reorder the terms:
3(5 + 3x) + -19 = 2(x + 5)
(5 * 3 + 3x * 3) + -19 = 2(x + 5)
(15 + 9x) + -19 = 2(x + 5)

Reorder the terms:
15 + -19 + 9x = 2(x + 5)

Combine like terms: 15 + -19 = -4
-4 + 9x = 2(x + 5)

Reorder the terms:
-4 + 9x = 2(5 + x)
-4 + 9x = (5 * 2 + x * 2)
-4 + 9x = (10 + 2x)

Solving
-4 + 9x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 9x + -2x = 10 + 2x + -2x

Combine like terms: 9x + -2x = 7x
-4 + 7x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 7x = 10 + 0
-4 + 7x = 10

Add '4' to each side of the equation.
-4 + 4 + 7x = 10 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 10 + 4
7x = 10 + 4

Combine like terms: 10 + 4 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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