.10(38)=.08(x+38)

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Solution for .10(38)=.08(x+38) equation:


Simplifying
0.10(38) = 0.08(x + 38)

Multiply 0.10 * 38
3.8 = 0.08(x + 38)

Reorder the terms:
3.8 = 0.08(38 + x)
3.8 = (38 * 0.08 + x * 0.08)
3.8 = (3.04 + 0.08x)

Solving
3.8 = 3.04 + 0.08x

Solving for variable 'x'.

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

Add '-0.08x' to each side of the equation.
3.8 + -0.08x = 3.04 + 0.08x + -0.08x

Combine like terms: 0.08x + -0.08x = 0.00
3.8 + -0.08x = 3.04 + 0.00
3.8 + -0.08x = 3.04

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -0.08x = 3.04 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -0.08x = 3.04 + -3.8
-0.08x = 3.04 + -3.8

Combine like terms: 3.04 + -3.8 = -0.76
-0.08x = -0.76

Divide each side by '-0.08'.
x = 9.5

Simplifying
x = 9.5

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