40(5.50)=x(5.00)+(40-x)(5.80)

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Solution for 40(5.50)=x(5.00)+(40-x)(5.80) equation: 


Simplifying
40(5.50) = x(5.00) + (40 + -1x)(5.80)

Multiply 40 * 5.50
220 = x(5.00) + (40 + -1x)(5.80)

Reorder the terms for easier multiplication:
220 = 5.00x + (40 + -1x)(5.80)

Reorder the terms for easier multiplication:
220 = 5.00x + 5.80(40 + -1x)
220 = 5.00x + (40 * 5.80 + -1x * 5.80)
220 = 5.00x + (232 + -5.8x)

Reorder the terms:
220 = 232 + 5.00x + -5.8x

Combine like terms: 5.00x + -5.8x = -0.8x
220 = 232 + -0.8x

Solving
220 = 232 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
220 + 0.8x = 232 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
220 + 0.8x = 232 + 0.0
220 + 0.8x = 232

Add '-220' to each side of the equation.
220 + -220 + 0.8x = 232 + -220

Combine like terms: 220 + -220 = 0
0 + 0.8x = 232 + -220
0.8x = 232 + -220

Combine like terms: 232 + -220 = 12
0.8x = 12

Divide each side by '0.8'.
x = 15

Simplifying
x = 15

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