20=0.1(x+40)+0.7x

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Solution for 20=0.1(x+40)+0.7x equation:


Simplifying
20 = 0.1(x + 40) + 0.7x

Reorder the terms:
20 = 0.1(40 + x) + 0.7x
20 = (40 * 0.1 + x * 0.1) + 0.7x
20 = (4 + 0.1x) + 0.7x

Combine like terms: 0.1x + 0.7x = 0.8x
20 = 4 + 0.8x

Solving
20 = 4 + 0.8x

Solving for variable 'x'.

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

Add '-0.8x' to each side of the equation.
20 + -0.8x = 4 + 0.8x + -0.8x

Combine like terms: 0.8x + -0.8x = 0.0
20 + -0.8x = 4 + 0.0
20 + -0.8x = 4

Add '-20' to each side of the equation.
20 + -20 + -0.8x = 4 + -20

Combine like terms: 20 + -20 = 0
0 + -0.8x = 4 + -20
-0.8x = 4 + -20

Combine like terms: 4 + -20 = -16
-0.8x = -16

Divide each side by '-0.8'.
x = 20

Simplifying
x = 20

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