4x+5(500-x)=2200

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Solution for 4x+5(500-x)=2200 equation:


Simplifying
4x + 5(500 + -1x) = 2200
4x + (500 * 5 + -1x * 5) = 2200
4x + (2500 + -5x) = 2200

Reorder the terms:
2500 + 4x + -5x = 2200

Combine like terms: 4x + -5x = -1x
2500 + -1x = 2200

Solving
2500 + -1x = 2200

Solving for variable 'x'.

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

Add '-2500' to each side of the equation.
2500 + -2500 + -1x = 2200 + -2500

Combine like terms: 2500 + -2500 = 0
0 + -1x = 2200 + -2500
-1x = 2200 + -2500

Combine like terms: 2200 + -2500 = -300
-1x = -300

Divide each side by '-1'.
x = 300

Simplifying
x = 300

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