5x+10(90-x)=640

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Solution for 5x+10(90-x)=640 equation:


Simplifying
5x + 10(90 + -1x) = 640
5x + (90 * 10 + -1x * 10) = 640
5x + (900 + -10x) = 640

Reorder the terms:
900 + 5x + -10x = 640

Combine like terms: 5x + -10x = -5x
900 + -5x = 640

Solving
900 + -5x = 640

Solving for variable 'x'.

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

Add '-900' to each side of the equation.
900 + -900 + -5x = 640 + -900

Combine like terms: 900 + -900 = 0
0 + -5x = 640 + -900
-5x = 640 + -900

Combine like terms: 640 + -900 = -260
-5x = -260

Divide each side by '-5'.
x = 52

Simplifying
x = 52

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