2x+3.5(75-x)=223.5

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Solution for 2x+3.5(75-x)=223.5 equation: 


Simplifying
2x + 3.5(75 + -1x) = 223.5
2x + (75 * 3.5 + -1x * 3.5) = 223.5
2x + (262.5 + -3.5x) = 223.5

Reorder the terms:
262.5 + 2x + -3.5x = 223.5

Combine like terms: 2x + -3.5x = -1.5x
262.5 + -1.5x = 223.5

Solving
262.5 + -1.5x = 223.5

Solving for variable 'x'.

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

Add '-262.5' to each side of the equation.
262.5 + -262.5 + -1.5x = 223.5 + -262.5

Combine like terms: 262.5 + -262.5 = 0.0
0.0 + -1.5x = 223.5 + -262.5
-1.5x = 223.5 + -262.5

Combine like terms: 223.5 + -262.5 = -39
-1.5x = -39

Divide each side by '-1.5'.
x = 26

Simplifying
x = 26

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