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

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


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

Reorder the terms:
2(-2 + x) + 5(x + -5) = 9
(-2 * 2 + x * 2) + 5(x + -5) = 9
(-4 + 2x) + 5(x + -5) = 9

Reorder the terms:
-4 + 2x + 5(-5 + x) = 9
-4 + 2x + (-5 * 5 + x * 5) = 9
-4 + 2x + (-25 + 5x) = 9

Reorder the terms:
-4 + -25 + 2x + 5x = 9

Combine like terms: -4 + -25 = -29
-29 + 2x + 5x = 9

Combine like terms: 2x + 5x = 7x
-29 + 7x = 9

Solving
-29 + 7x = 9

Solving for variable 'x'.

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

Add '29' to each side of the equation.
-29 + 29 + 7x = 9 + 29

Combine like terms: -29 + 29 = 0
0 + 7x = 9 + 29
7x = 9 + 29

Combine like terms: 9 + 29 = 38
7x = 38

Divide each side by '7'.
x = 5.428571429

Simplifying
x = 5.428571429

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