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

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


Simplifying
x + 0.10(38 + -1x) = 38(0.08)
x + (38 * 0.10 + -1x * 0.10) = 38(0.08)
x + (3.8 + -0.1x) = 38(0.08)

Reorder the terms:
3.8 + x + -0.1x = 38(0.08)

Combine like terms: x + -0.1x = 0.9x
3.8 + 0.9x = 38(0.08)

Multiply 38 * 0.08
3.8 + 0.9x = 3.04

Solving
3.8 + 0.9x = 3.04

Solving for variable 'x'.

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

Add '-3.8' to each side of the equation.
3.8 + -3.8 + 0.9x = 3.04 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + 0.9x = 3.04 + -3.8
0.9x = 3.04 + -3.8

Combine like terms: 3.04 + -3.8 = -0.76
0.9x = -0.76

Divide each side by '0.9'.
x = -0.8444444444

Simplifying
x = -0.8444444444

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