0.80x+0.20(80)=0.70(x+80)

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Solution for 0.80x+0.20(80)=0.70(x+80) equation: 


Simplifying
0.80x + 0.20(80) = 0.70(x + 80)

Multiply 0.20 * 80
0.80x + 16 = 0.70(x + 80)

Reorder the terms:
16 + 0.80x = 0.70(x + 80)

Reorder the terms:
16 + 0.80x = 0.70(80 + x)
16 + 0.80x = (80 * 0.70 + x * 0.70)
16 + 0.80x = (56 + 0.70x)

Solving
16 + 0.80x = 56 + 0.70x

Solving for variable 'x'.

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

Add '-0.70x' to each side of the equation.
16 + 0.80x + -0.70x = 56 + 0.70x + -0.70x

Combine like terms: 0.80x + -0.70x = 0.1x
16 + 0.1x = 56 + 0.70x + -0.70x

Combine like terms: 0.70x + -0.70x = 0.00
16 + 0.1x = 56 + 0.00
16 + 0.1x = 56

Add '-16' to each side of the equation.
16 + -16 + 0.1x = 56 + -16

Combine like terms: 16 + -16 = 0
0 + 0.1x = 56 + -16
0.1x = 56 + -16

Combine like terms: 56 + -16 = 40
0.1x = 40

Divide each side by '0.1'.
x = 400

Simplifying
x = 400

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