3x+4(500-x)=1740

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Solution for 3x+4(500-x)=1740 equation:


Simplifying
3x + 4(500 + -1x) = 1740
3x + (500 * 4 + -1x * 4) = 1740
3x + (2000 + -4x) = 1740

Reorder the terms:
2000 + 3x + -4x = 1740

Combine like terms: 3x + -4x = -1x
2000 + -1x = 1740

Solving
2000 + -1x = 1740

Solving for variable 'x'.

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

Add '-2000' to each side of the equation.
2000 + -2000 + -1x = 1740 + -2000

Combine like terms: 2000 + -2000 = 0
0 + -1x = 1740 + -2000
-1x = 1740 + -2000

Combine like terms: 1740 + -2000 = -260
-1x = -260

Divide each side by '-1'.
x = 260

Simplifying
x = 260

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