9x+5(x-6)=7(x-8)

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Solution for 9x+5(x-6)=7(x-8) equation:


Simplifying
9x + 5(x + -6) = 7(x + -8)

Reorder the terms:
9x + 5(-6 + x) = 7(x + -8)
9x + (-6 * 5 + x * 5) = 7(x + -8)
9x + (-30 + 5x) = 7(x + -8)

Reorder the terms:
-30 + 9x + 5x = 7(x + -8)

Combine like terms: 9x + 5x = 14x
-30 + 14x = 7(x + -8)

Reorder the terms:
-30 + 14x = 7(-8 + x)
-30 + 14x = (-8 * 7 + x * 7)
-30 + 14x = (-56 + 7x)

Solving
-30 + 14x = -56 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-30 + 14x + -7x = -56 + 7x + -7x

Combine like terms: 14x + -7x = 7x
-30 + 7x = -56 + 7x + -7x

Combine like terms: 7x + -7x = 0
-30 + 7x = -56 + 0
-30 + 7x = -56

Add '30' to each side of the equation.
-30 + 30 + 7x = -56 + 30

Combine like terms: -30 + 30 = 0
0 + 7x = -56 + 30
7x = -56 + 30

Combine like terms: -56 + 30 = -26
7x = -26

Divide each side by '7'.
x = -3.714285714

Simplifying
x = -3.714285714

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