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

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


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

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

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

Solving
9 + 3x = -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.
9 + 3x + -7x = -21 + 7x + -7x

Combine like terms: 3x + -7x = -4x
9 + -4x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
9 + -4x = -21 + 0
9 + -4x = -21

Add '-9' to each side of the equation.
9 + -9 + -4x = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -4x = -21 + -9
-4x = -21 + -9

Combine like terms: -21 + -9 = -30
-4x = -30

Divide each side by '-4'.
x = 7.5

Simplifying
x = 7.5

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