9-(x-3)=6(x+5)

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Solution for 9-(x-3)=6(x+5) equation:


Simplifying
9 + -1(x + -3) = 6(x + 5)

Reorder the terms:
9 + -1(-3 + x) = 6(x + 5)
9 + (-3 * -1 + x * -1) = 6(x + 5)
9 + (3 + -1x) = 6(x + 5)

Combine like terms: 9 + 3 = 12
12 + -1x = 6(x + 5)

Reorder the terms:
12 + -1x = 6(5 + x)
12 + -1x = (5 * 6 + x * 6)
12 + -1x = (30 + 6x)

Solving
12 + -1x = 30 + 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.
12 + -1x + -6x = 30 + 6x + -6x

Combine like terms: -1x + -6x = -7x
12 + -7x = 30 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + -7x = 30 + 0
12 + -7x = 30

Add '-12' to each side of the equation.
12 + -12 + -7x = 30 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 30 + -12
-7x = 30 + -12

Combine like terms: 30 + -12 = 18
-7x = 18

Divide each side by '-7'.
x = -2.571428571

Simplifying
x = -2.571428571

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