7+9(x-3)=1-6(x-9)

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Solution for 7+9(x-3)=1-6(x-9) equation:


Simplifying
7 + 9(x + -3) = 1 + -6(x + -9)

Reorder the terms:
7 + 9(-3 + x) = 1 + -6(x + -9)
7 + (-3 * 9 + x * 9) = 1 + -6(x + -9)
7 + (-27 + 9x) = 1 + -6(x + -9)

Combine like terms: 7 + -27 = -20
-20 + 9x = 1 + -6(x + -9)

Reorder the terms:
-20 + 9x = 1 + -6(-9 + x)
-20 + 9x = 1 + (-9 * -6 + x * -6)
-20 + 9x = 1 + (54 + -6x)

Combine like terms: 1 + 54 = 55
-20 + 9x = 55 + -6x

Solving
-20 + 9x = 55 + -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.
-20 + 9x + 6x = 55 + -6x + 6x

Combine like terms: 9x + 6x = 15x
-20 + 15x = 55 + -6x + 6x

Combine like terms: -6x + 6x = 0
-20 + 15x = 55 + 0
-20 + 15x = 55

Add '20' to each side of the equation.
-20 + 20 + 15x = 55 + 20

Combine like terms: -20 + 20 = 0
0 + 15x = 55 + 20
15x = 55 + 20

Combine like terms: 55 + 20 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5

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