0.2(80)=0.5(50+x)-0.7

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Solution for 0.2(80)=0.5(50+x)-0.7 equation: 


Simplifying
0.2(80) = 0.5(50 + x) + -0.7

Multiply 0.2 * 80
16 = 0.5(50 + x) + -0.7
16 = (50 * 0.5 + x * 0.5) + -0.7
16 = (25 + 0.5x) + -0.7

Reorder the terms:
16 = 25 + -0.7 + 0.5x

Combine like terms: 25 + -0.7 = 24.3
16 = 24.3 + 0.5x

Solving
16 = 24.3 + 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.
16 + -0.5x = 24.3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
16 + -0.5x = 24.3 + 0.0
16 + -0.5x = 24.3

Add '-16' to each side of the equation.
16 + -16 + -0.5x = 24.3 + -16

Combine like terms: 16 + -16 = 0
0 + -0.5x = 24.3 + -16
-0.5x = 24.3 + -16

Combine like terms: 24.3 + -16 = 8.3
-0.5x = 8.3

Divide each side by '-0.5'.
x = -16.6

Simplifying
x = -16.6

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