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

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


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

Reorder the terms:
3(5 + 3x) = -7(x + 3)
(5 * 3 + 3x * 3) = -7(x + 3)
(15 + 9x) = -7(x + 3)

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

Solving
15 + 9x = -21 + -7x

Solving for variable 'x'.

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

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

Combine like terms: 9x + 7x = 16x
15 + 16x = -21 + -7x + 7x

Combine like terms: -7x + 7x = 0
15 + 16x = -21 + 0
15 + 16x = -21

Add '-15' to each side of the equation.
15 + -15 + 16x = -21 + -15

Combine like terms: 15 + -15 = 0
0 + 16x = -21 + -15
16x = -21 + -15

Combine like terms: -21 + -15 = -36
16x = -36

Divide each side by '16'.
x = -2.25

Simplifying
x = -2.25

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