3x+4(600-x)=2200

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Solution for 3x+4(600-x)=2200 equation:


Simplifying
3x + 4(600 + -1x) = 2200
3x + (600 * 4 + -1x * 4) = 2200
3x + (2400 + -4x) = 2200

Reorder the terms:
2400 + 3x + -4x = 2200

Combine like terms: 3x + -4x = -1x
2400 + -1x = 2200

Solving
2400 + -1x = 2200

Solving for variable 'x'.

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

Add '-2400' to each side of the equation.
2400 + -2400 + -1x = 2200 + -2400

Combine like terms: 2400 + -2400 = 0
0 + -1x = 2200 + -2400
-1x = 2200 + -2400

Combine like terms: 2200 + -2400 = -200
-1x = -200

Divide each side by '-1'.
x = 200

Simplifying
x = 200

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