0.4(80)+0.7x=0.5(80+x)

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Solution for 0.4(80)+0.7x=0.5(80+x) equation: 


Simplifying
0.4(80) + 0.7x = 0.5(80 + x)

Multiply 0.4 * 80
32 + 0.7x = 0.5(80 + x)
32 + 0.7x = (80 * 0.5 + x * 0.5)
32 + 0.7x = (40 + 0.5x)

Solving
32 + 0.7x = 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.
32 + 0.7x + -0.5x = 40 + 0.5x + -0.5x

Combine like terms: 0.7x + -0.5x = 0.2x
32 + 0.2x = 40 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
32 + 0.2x = 40 + 0.0
32 + 0.2x = 40

Add '-32' to each side of the equation.
32 + -32 + 0.2x = 40 + -32

Combine like terms: 32 + -32 = 0
0 + 0.2x = 40 + -32
0.2x = 40 + -32

Combine like terms: 40 + -32 = 8
0.2x = 8

Divide each side by '0.2'.
x = 40

Simplifying
x = 40

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