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

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


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

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

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

Combine like terms: -10 + 20 = 10
10 + 5x + 2x = 180

Combine like terms: 5x + 2x = 7x
10 + 7x = 180

Solving
10 + 7x = 180

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 7x = 180 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 180 + -10
7x = 180 + -10

Combine like terms: 180 + -10 = 170
7x = 170

Divide each side by '7'.
x = 24.28571429

Simplifying
x = 24.28571429

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