3(3x+7)=5(2x+3)

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Solution for 3(3x+7)=5(2x+3) equation:


Simplifying
3(3x + 7) = 5(2x + 3)

Reorder the terms:
3(7 + 3x) = 5(2x + 3)
(7 * 3 + 3x * 3) = 5(2x + 3)
(21 + 9x) = 5(2x + 3)

Reorder the terms:
21 + 9x = 5(3 + 2x)
21 + 9x = (3 * 5 + 2x * 5)
21 + 9x = (15 + 10x)

Solving
21 + 9x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
21 + 9x + -10x = 15 + 10x + -10x

Combine like terms: 9x + -10x = -1x
21 + -1x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
21 + -1x = 15 + 0
21 + -1x = 15

Add '-21' to each side of the equation.
21 + -21 + -1x = 15 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 15 + -21
-1x = 15 + -21

Combine like terms: 15 + -21 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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