=x(20)+(48-x)(40)

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Solution for =x(20)+(48-x)(40) equation:


Simplifying
0 = x(20) + (48 + -1x)(40)

Reorder the terms for easier multiplication:
0 = 20x + (48 + -1x)(40)

Reorder the terms for easier multiplication:
0 = 20x + 40(48 + -1x)
0 = 20x + (48 * 40 + -1x * 40)
0 = 20x + (1920 + -40x)

Reorder the terms:
0 = 1920 + 20x + -40x

Combine like terms: 20x + -40x = -20x
0 = 1920 + -20x

Solving
0 = 1920 + -20x

Solving for variable 'x'.

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

Add '20x' to each side of the equation.
0 + 20x = 1920 + -20x + 20x
Remove the zero:
20x = 1920 + -20x + 20x

Combine like terms: -20x + 20x = 0
20x = 1920 + 0
20x = 1920

Divide each side by '20'.
x = 96

Simplifying
x = 96

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