9+5(x-5)=7-3(x-7)

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Solution for 9+5(x-5)=7-3(x-7) equation:


Simplifying
9 + 5(x + -5) = 7 + -3(x + -7)

Reorder the terms:
9 + 5(-5 + x) = 7 + -3(x + -7)
9 + (-5 * 5 + x * 5) = 7 + -3(x + -7)
9 + (-25 + 5x) = 7 + -3(x + -7)

Combine like terms: 9 + -25 = -16
-16 + 5x = 7 + -3(x + -7)

Reorder the terms:
-16 + 5x = 7 + -3(-7 + x)
-16 + 5x = 7 + (-7 * -3 + x * -3)
-16 + 5x = 7 + (21 + -3x)

Combine like terms: 7 + 21 = 28
-16 + 5x = 28 + -3x

Solving
-16 + 5x = 28 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-16 + 5x + 3x = 28 + -3x + 3x

Combine like terms: 5x + 3x = 8x
-16 + 8x = 28 + -3x + 3x

Combine like terms: -3x + 3x = 0
-16 + 8x = 28 + 0
-16 + 8x = 28

Add '16' to each side of the equation.
-16 + 16 + 8x = 28 + 16

Combine like terms: -16 + 16 = 0
0 + 8x = 28 + 16
8x = 28 + 16

Combine like terms: 28 + 16 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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