2(10x-5)+5(2x-10)=180

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Solution for 2(10x-5)+5(2x-10)=180 equation:


Simplifying
2(10x + -5) + 5(2x + -10) = 180

Reorder the terms:
2(-5 + 10x) + 5(2x + -10) = 180
(-5 * 2 + 10x * 2) + 5(2x + -10) = 180
(-10 + 20x) + 5(2x + -10) = 180

Reorder the terms:
-10 + 20x + 5(-10 + 2x) = 180
-10 + 20x + (-10 * 5 + 2x * 5) = 180
-10 + 20x + (-50 + 10x) = 180

Reorder the terms:
-10 + -50 + 20x + 10x = 180

Combine like terms: -10 + -50 = -60
-60 + 20x + 10x = 180

Combine like terms: 20x + 10x = 30x
-60 + 30x = 180

Solving
-60 + 30x = 180

Solving for variable 'x'.

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

Add '60' to each side of the equation.
-60 + 60 + 30x = 180 + 60

Combine like terms: -60 + 60 = 0
0 + 30x = 180 + 60
30x = 180 + 60

Combine like terms: 180 + 60 = 240
30x = 240

Divide each side by '30'.
x = 8

Simplifying
x = 8

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