2(x-9)+5(x+5)=18

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Solution for 2(x-9)+5(x+5)=18 equation:


Simplifying
2(x + -9) + 5(x + 5) = 18

Reorder the terms:
2(-9 + x) + 5(x + 5) = 18
(-9 * 2 + x * 2) + 5(x + 5) = 18
(-18 + 2x) + 5(x + 5) = 18

Reorder the terms:
-18 + 2x + 5(5 + x) = 18
-18 + 2x + (5 * 5 + x * 5) = 18
-18 + 2x + (25 + 5x) = 18

Reorder the terms:
-18 + 25 + 2x + 5x = 18

Combine like terms: -18 + 25 = 7
7 + 2x + 5x = 18

Combine like terms: 2x + 5x = 7x
7 + 7x = 18

Solving
7 + 7x = 18

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 7x = 18 + -7

Combine like terms: 7 + -7 = 0
0 + 7x = 18 + -7
7x = 18 + -7

Combine like terms: 18 + -7 = 11
7x = 11

Divide each side by '7'.
x = 1.571428571

Simplifying
x = 1.571428571

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