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

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Solution for 1+6(x-9)=9-5(x-1) equation:


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

Reorder the terms:
1 + 6(-9 + x) = 9 + -5(x + -1)
1 + (-9 * 6 + x * 6) = 9 + -5(x + -1)
1 + (-54 + 6x) = 9 + -5(x + -1)

Combine like terms: 1 + -54 = -53
-53 + 6x = 9 + -5(x + -1)

Reorder the terms:
-53 + 6x = 9 + -5(-1 + x)
-53 + 6x = 9 + (-1 * -5 + x * -5)
-53 + 6x = 9 + (5 + -5x)

Combine like terms: 9 + 5 = 14
-53 + 6x = 14 + -5x

Solving
-53 + 6x = 14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-53 + 6x + 5x = 14 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-53 + 11x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-53 + 11x = 14 + 0
-53 + 11x = 14

Add '53' to each side of the equation.
-53 + 53 + 11x = 14 + 53

Combine like terms: -53 + 53 = 0
0 + 11x = 14 + 53
11x = 14 + 53

Combine like terms: 14 + 53 = 67
11x = 67

Divide each side by '11'.
x = 6.090909091

Simplifying
x = 6.090909091

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