0.40x+0.60(0.80-x)=0.70(0.80)

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Solution for 0.40x+0.60(0.80-x)=0.70(0.80) equation:


Simplifying
0.40x + 0.60(0.80 + -1x) = 0.70(0.80)
0.40x + (0.80 * 0.60 + -1x * 0.60) = 0.70(0.80)
0.40x + (0.48 + -0.6x) = 0.70(0.80)

Reorder the terms:
0.48 + 0.40x + -0.6x = 0.70(0.80)

Combine like terms: 0.40x + -0.6x = -0.2x
0.48 + -0.2x = 0.70(0.80)

Multiply 0.70 * 0.80
0.48 + -0.2x = 0.56

Solving
0.48 + -0.2x = 0.56

Solving for variable 'x'.

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

Add '-0.48' to each side of the equation.
0.48 + -0.48 + -0.2x = 0.56 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + -0.2x = 0.56 + -0.48
-0.2x = 0.56 + -0.48

Combine like terms: 0.56 + -0.48 = 0.08
-0.2x = 0.08

Divide each side by '-0.2'.
x = -0.4

Simplifying
x = -0.4

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