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

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


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

Reorder the terms:
5 + 9(-7 + x) = 7 + -5(x + -3)
5 + (-7 * 9 + x * 9) = 7 + -5(x + -3)
5 + (-63 + 9x) = 7 + -5(x + -3)

Combine like terms: 5 + -63 = -58
-58 + 9x = 7 + -5(x + -3)

Reorder the terms:
-58 + 9x = 7 + -5(-3 + x)
-58 + 9x = 7 + (-3 * -5 + x * -5)
-58 + 9x = 7 + (15 + -5x)

Combine like terms: 7 + 15 = 22
-58 + 9x = 22 + -5x

Solving
-58 + 9x = 22 + -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.
-58 + 9x + 5x = 22 + -5x + 5x

Combine like terms: 9x + 5x = 14x
-58 + 14x = 22 + -5x + 5x

Combine like terms: -5x + 5x = 0
-58 + 14x = 22 + 0
-58 + 14x = 22

Add '58' to each side of the equation.
-58 + 58 + 14x = 22 + 58

Combine like terms: -58 + 58 = 0
0 + 14x = 22 + 58
14x = 22 + 58

Combine like terms: 22 + 58 = 80
14x = 80

Divide each side by '14'.
x = 5.714285714

Simplifying
x = 5.714285714

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