10(x-2)=35-x

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Solution for 10(x-2)=35-x equation:


Simplifying
10(x + -2) = 35 + -1x

Reorder the terms:
10(-2 + x) = 35 + -1x
(-2 * 10 + x * 10) = 35 + -1x
(-20 + 10x) = 35 + -1x

Solving
-20 + 10x = 35 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-20 + 10x + x = 35 + -1x + x

Combine like terms: 10x + x = 11x
-20 + 11x = 35 + -1x + x

Combine like terms: -1x + x = 0
-20 + 11x = 35 + 0
-20 + 11x = 35

Add '20' to each side of the equation.
-20 + 20 + 11x = 35 + 20

Combine like terms: -20 + 20 = 0
0 + 11x = 35 + 20
11x = 35 + 20

Combine like terms: 35 + 20 = 55
11x = 55

Divide each side by '11'.
x = 5

Simplifying
x = 5

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