x+10=0.2(x+100)

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Solution for x+10=0.2(x+100) equation: 


Simplifying
x + 10 = 0.2(x + 100)

Reorder the terms:
10 + x = 0.2(x + 100)

Reorder the terms:
10 + x = 0.2(100 + x)
10 + x = (100 * 0.2 + x * 0.2)
10 + x = (20 + 0.2x)

Solving
10 + x = 20 + 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.
10 + x + -0.2x = 20 + 0.2x + -0.2x

Combine like terms: x + -0.2x = 0.8x
10 + 0.8x = 20 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
10 + 0.8x = 20 + 0.0
10 + 0.8x = 20

Add '-10' to each side of the equation.
10 + -10 + 0.8x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 0.8x = 20 + -10
0.8x = 20 + -10

Combine like terms: 20 + -10 = 10
0.8x = 10

Divide each side by '0.8'.
x = 12.5

Simplifying
x = 12.5

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