0.45(80)+0.6x=0.5(80+x)

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Solution for 0.45(80)+0.6x=0.5(80+x) equation: 


Simplifying
0.45(80) + 0.6x = 0.5(80 + x)

Multiply 0.45 * 80
36 + 0.6x = 0.5(80 + x)
36 + 0.6x = (80 * 0.5 + x * 0.5)
36 + 0.6x = (40 + 0.5x)

Solving
36 + 0.6x = 40 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
36 + 0.6x + -0.5x = 40 + 0.5x + -0.5x

Combine like terms: 0.6x + -0.5x = 0.1x
36 + 0.1x = 40 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
36 + 0.1x = 40 + 0.0
36 + 0.1x = 40

Add '-36' to each side of the equation.
36 + -36 + 0.1x = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 0.1x = 40 + -36
0.1x = 40 + -36

Combine like terms: 40 + -36 = 4
0.1x = 4

Divide each side by '0.1'.
x = 40

Simplifying
x = 40

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