2(x-3)+5(x-7)=0

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Solution for 2(x-3)+5(x-7)=0 equation:


Simplifying
2(x + -3) + 5(x + -7) = 0

Reorder the terms:
2(-3 + x) + 5(x + -7) = 0
(-3 * 2 + x * 2) + 5(x + -7) = 0
(-6 + 2x) + 5(x + -7) = 0

Reorder the terms:
-6 + 2x + 5(-7 + x) = 0
-6 + 2x + (-7 * 5 + x * 5) = 0
-6 + 2x + (-35 + 5x) = 0

Reorder the terms:
-6 + -35 + 2x + 5x = 0

Combine like terms: -6 + -35 = -41
-41 + 2x + 5x = 0

Combine like terms: 2x + 5x = 7x
-41 + 7x = 0

Solving
-41 + 7x = 0

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 7x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 7x = 0 + 41
7x = 0 + 41

Combine like terms: 0 + 41 = 41
7x = 41

Divide each side by '7'.
x = 5.857142857

Simplifying
x = 5.857142857

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