8+9(x-8)=7-5(x-2)

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Solution for 8+9(x-8)=7-5(x-2) equation:


Simplifying
8 + 9(x + -8) = 7 + -5(x + -2)

Reorder the terms:
8 + 9(-8 + x) = 7 + -5(x + -2)
8 + (-8 * 9 + x * 9) = 7 + -5(x + -2)
8 + (-72 + 9x) = 7 + -5(x + -2)

Combine like terms: 8 + -72 = -64
-64 + 9x = 7 + -5(x + -2)

Reorder the terms:
-64 + 9x = 7 + -5(-2 + x)
-64 + 9x = 7 + (-2 * -5 + x * -5)
-64 + 9x = 7 + (10 + -5x)

Combine like terms: 7 + 10 = 17
-64 + 9x = 17 + -5x

Solving
-64 + 9x = 17 + -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.
-64 + 9x + 5x = 17 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-64 + 14x = 17 + -5x + 5x

Combine like terms: -5x + 5x = 0
-64 + 14x = 17 + 0
-64 + 14x = 17

Add '64' to each side of the equation.
-64 + 64 + 14x = 17 + 64

Combine like terms: -64 + 64 = 0
0 + 14x = 17 + 64
14x = 17 + 64

Combine like terms: 17 + 64 = 81
14x = 81

Divide each side by '14'.
x = 5.785714286

Simplifying
x = 5.785714286

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