3+9(x-7)=3-6(x-9)

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Solution for 3+9(x-7)=3-6(x-9) equation:


Simplifying
3 + 9(x + -7) = 3 + -6(x + -9)

Reorder the terms:
3 + 9(-7 + x) = 3 + -6(x + -9)
3 + (-7 * 9 + x * 9) = 3 + -6(x + -9)
3 + (-63 + 9x) = 3 + -6(x + -9)

Combine like terms: 3 + -63 = -60
-60 + 9x = 3 + -6(x + -9)

Reorder the terms:
-60 + 9x = 3 + -6(-9 + x)
-60 + 9x = 3 + (-9 * -6 + x * -6)
-60 + 9x = 3 + (54 + -6x)

Combine like terms: 3 + 54 = 57
-60 + 9x = 57 + -6x

Solving
-60 + 9x = 57 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-60 + 9x + 6x = 57 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-60 + 15x = 57 + -6x + 6x

Combine like terms: -6x + 6x = 0
-60 + 15x = 57 + 0
-60 + 15x = 57

Add '60' to each side of the equation.
-60 + 60 + 15x = 57 + 60

Combine like terms: -60 + 60 = 0
0 + 15x = 57 + 60
15x = 57 + 60

Combine like terms: 57 + 60 = 117
15x = 117

Divide each side by '15'.
x = 7.8

Simplifying
x = 7.8

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