-3(x+5)=9(x-7)

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Solution for -3(x+5)=9(x-7) equation:


Simplifying
-3(x + 5) = 9(x + -7)

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

Reorder the terms:
-15 + -3x = 9(-7 + x)
-15 + -3x = (-7 * 9 + x * 9)
-15 + -3x = (-63 + 9x)

Solving
-15 + -3x = -63 + 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 + -3x + -9x = -63 + 9x + -9x

Combine like terms: -3x + -9x = -12x
-15 + -12x = -63 + 9x + -9x

Combine like terms: 9x + -9x = 0
-15 + -12x = -63 + 0
-15 + -12x = -63

Add '15' to each side of the equation.
-15 + 15 + -12x = -63 + 15

Combine like terms: -15 + 15 = 0
0 + -12x = -63 + 15
-12x = -63 + 15

Combine like terms: -63 + 15 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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