10x+1(64-x)=217

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Solution for 10x+1(64-x)=217 equation:


Simplifying
10x + 1(64 + -1x) = 217
10x + (64 * 1 + -1x * 1) = 217
10x + (64 + -1x) = 217

Reorder the terms:
64 + 10x + -1x = 217

Combine like terms: 10x + -1x = 9x
64 + 9x = 217

Solving
64 + 9x = 217

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + 9x = 217 + -64

Combine like terms: 64 + -64 = 0
0 + 9x = 217 + -64
9x = 217 + -64

Combine like terms: 217 + -64 = 153
9x = 153

Divide each side by '9'.
x = 17

Simplifying
x = 17

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