0.1(x+70)+0.6(x-20)=30

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Solution for 0.1(x+70)+0.6(x-20)=30 equation: 


Simplifying
0.1(x + 70) + 0.6(x + -20) = 30

Reorder the terms:
0.1(70 + x) + 0.6(x + -20) = 30
(70 * 0.1 + x * 0.1) + 0.6(x + -20) = 30
(7 + 0.1x) + 0.6(x + -20) = 30

Reorder the terms:
7 + 0.1x + 0.6(-20 + x) = 30
7 + 0.1x + (-20 * 0.6 + x * 0.6) = 30
7 + 0.1x + (-12 + 0.6x) = 30

Reorder the terms:
7 + -12 + 0.1x + 0.6x = 30

Combine like terms: 7 + -12 = -5
-5 + 0.1x + 0.6x = 30

Combine like terms: 0.1x + 0.6x = 0.7x
-5 + 0.7x = 30

Solving
-5 + 0.7x = 30

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 0.7x = 30 + 5

Combine like terms: -5 + 5 = 0
0 + 0.7x = 30 + 5
0.7x = 30 + 5

Combine like terms: 30 + 5 = 35
0.7x = 35

Divide each side by '0.7'.
x = 50

Simplifying
x = 50

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