3(3x+5)=2(x+4)

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


Simplifying
3(3x + 5) = 2(x + 4)

Reorder the terms:
3(5 + 3x) = 2(x + 4)
(5 * 3 + 3x * 3) = 2(x + 4)
(15 + 9x) = 2(x + 4)

Reorder the terms:
15 + 9x = 2(4 + x)
15 + 9x = (4 * 2 + x * 2)
15 + 9x = (8 + 2x)

Solving
15 + 9x = 8 + 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.
15 + 9x + -2x = 8 + 2x + -2x

Combine like terms: 9x + -2x = 7x
15 + 7x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 7x = 8 + 0
15 + 7x = 8

Add '-15' to each side of the equation.
15 + -15 + 7x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = 8 + -15
7x = 8 + -15

Combine like terms: 8 + -15 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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