25(x+6)=180-10x

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Solution for 25(x+6)=180-10x equation:


Simplifying
25(x + 6) = 180 + -10x

Reorder the terms:
25(6 + x) = 180 + -10x
(6 * 25 + x * 25) = 180 + -10x
(150 + 25x) = 180 + -10x

Solving
150 + 25x = 180 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
150 + 25x + 10x = 180 + -10x + 10x

Combine like terms: 25x + 10x = 35x
150 + 35x = 180 + -10x + 10x

Combine like terms: -10x + 10x = 0
150 + 35x = 180 + 0
150 + 35x = 180

Add '-150' to each side of the equation.
150 + -150 + 35x = 180 + -150

Combine like terms: 150 + -150 = 0
0 + 35x = 180 + -150
35x = 180 + -150

Combine like terms: 180 + -150 = 30
35x = 30

Divide each side by '35'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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