0.7x+[0.1*(100-x)]=22

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Solution for 0.7x+[0.1*(100-x)]=22 equation:


Simplifying
0.7x + [0.1(100 + -1x)] = 22
0.7x + [(100 * 0.1 + -1x * 0.1)] = 22
0.7x + [(10 + -0.1x)] = 22
0.7x + [10 + -0.1x] = 22

Remove brackets around [10 + -0.1x]
0.7x + 10 + -0.1x = 22

Reorder the terms:
10 + 0.7x + -0.1x = 22

Combine like terms: 0.7x + -0.1x = 0.6x
10 + 0.6x = 22

Solving
10 + 0.6x = 22

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 0.6x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 0.6x = 22 + -10
0.6x = 22 + -10

Combine like terms: 22 + -10 = 12
0.6x = 12

Divide each side by '0.6'.
x = 20

Simplifying
x = 20

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