(7x+15)=3(3x-7)

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Solution for (7x+15)=3(3x-7) equation:


Simplifying
(7x + 15) = 3(3x + -7)

Reorder the terms:
(15 + 7x) = 3(3x + -7)

Remove parenthesis around (15 + 7x)
15 + 7x = 3(3x + -7)

Reorder the terms:
15 + 7x = 3(-7 + 3x)
15 + 7x = (-7 * 3 + 3x * 3)
15 + 7x = (-21 + 9x)

Solving
15 + 7x = -21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
15 + 7x + -9x = -21 + 9x + -9x

Combine like terms: 7x + -9x = -2x
15 + -2x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
15 + -2x = -21 + 0
15 + -2x = -21

Add '-15' to each side of the equation.
15 + -15 + -2x = -21 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = -21 + -15
-2x = -21 + -15

Combine like terms: -21 + -15 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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