4*x+6*(415-x)=2160

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Solution for 4*x+6*(415-x)=2160 equation:


Simplifying
4x + 6(415 + -1x) = 2160
4x + (415 * 6 + -1x * 6) = 2160
4x + (2490 + -6x) = 2160

Reorder the terms:
2490 + 4x + -6x = 2160

Combine like terms: 4x + -6x = -2x
2490 + -2x = 2160

Solving
2490 + -2x = 2160

Solving for variable 'x'.

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

Add '-2490' to each side of the equation.
2490 + -2490 + -2x = 2160 + -2490

Combine like terms: 2490 + -2490 = 0
0 + -2x = 2160 + -2490
-2x = 2160 + -2490

Combine like terms: 2160 + -2490 = -330
-2x = -330

Divide each side by '-2'.
x = 165

Simplifying
x = 165

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