.05x+.20(8)=.10(x+8)

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Solution for .05x+.20(8)=.10(x+8) equation:


Simplifying
0.05x + 0.20(8) = 0.10(x + 8)

Multiply 0.20 * 8
0.05x + 1.6 = 0.10(x + 8)

Reorder the terms:
1.6 + 0.05x = 0.10(x + 8)

Reorder the terms:
1.6 + 0.05x = 0.10(8 + x)
1.6 + 0.05x = (8 * 0.10 + x * 0.10)
1.6 + 0.05x = (0.8 + 0.10x)

Solving
1.6 + 0.05x = 0.8 + 0.10x

Solving for variable 'x'.

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

Add '-0.10x' to each side of the equation.
1.6 + 0.05x + -0.10x = 0.8 + 0.10x + -0.10x

Combine like terms: 0.05x + -0.10x = -0.05x
1.6 + -0.05x = 0.8 + 0.10x + -0.10x

Combine like terms: 0.10x + -0.10x = 0.00
1.6 + -0.05x = 0.8 + 0.00
1.6 + -0.05x = 0.8

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.05x = 0.8 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.05x = 0.8 + -1.6
-0.05x = 0.8 + -1.6

Combine like terms: 0.8 + -1.6 = -0.8
-0.05x = -0.8

Divide each side by '-0.05'.
x = 16

Simplifying
x = 16

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