x+0.08(20)=0.2(20+x)

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Solution for x+0.08(20)=0.2(20+x) equation:


Simplifying
x + 0.08(20) = 0.2(20 + x)

Multiply 0.08 * 20
x + 1.6 = 0.2(20 + x)

Reorder the terms:
1.6 + x = 0.2(20 + x)
1.6 + x = (20 * 0.2 + x * 0.2)
1.6 + x = (4 + 0.2x)

Solving
1.6 + x = 4 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
1.6 + x + -0.2x = 4 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
1.6 + 0.8x = 4 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
1.6 + 0.8x = 4 + 0.0
1.6 + 0.8x = 4

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.8x = 4 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.8x = 4 + -1.6
0.8x = 4 + -1.6

Combine like terms: 4 + -1.6 = 2.4
0.8x = 2.4

Divide each side by '0.8'.
x = 3

Simplifying
x = 3

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