5(x-5)+13(x-7)=

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Solution for 5(x-5)+13(x-7)= equation:


Simplifying
5(x + -5) + 13(x + -7) = 0

Reorder the terms:
5(-5 + x) + 13(x + -7) = 0
(-5 * 5 + x * 5) + 13(x + -7) = 0
(-25 + 5x) + 13(x + -7) = 0

Reorder the terms:
-25 + 5x + 13(-7 + x) = 0
-25 + 5x + (-7 * 13 + x * 13) = 0
-25 + 5x + (-91 + 13x) = 0

Reorder the terms:
-25 + -91 + 5x + 13x = 0

Combine like terms: -25 + -91 = -116
-116 + 5x + 13x = 0

Combine like terms: 5x + 13x = 18x
-116 + 18x = 0

Solving
-116 + 18x = 0

Solving for variable 'x'.

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

Add '116' to each side of the equation.
-116 + 116 + 18x = 0 + 116

Combine like terms: -116 + 116 = 0
0 + 18x = 0 + 116
18x = 0 + 116

Combine like terms: 0 + 116 = 116
18x = 116

Divide each side by '18'.
x = 6.444444444

Simplifying
x = 6.444444444

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