0.95x+0.05(10-x)=0.51(10)

Solution for 0.95x+0.05(10-x)=0.51(10) equation:

Simplifying
0.95x + 0.05(10 + -1x) = 0.51(10)
0.95x + (10 * 0.05 + -1x * 0.05) = 0.51(10)
0.95x + (0.5 + -0.05x) = 0.51(10)

Reorder the terms:
0.5 + 0.95x + -0.05x = 0.51(10)

Combine like terms: 0.95x + -0.05x = 0.9x
0.5 + 0.9x = 0.51(10)

Multiply 0.51 * 10
0.5 + 0.9x = 5.1

Solving
0.5 + 0.9x = 5.1

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 0.9x = 5.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 0.9x = 5.1 + -0.5
0.9x = 5.1 + -0.5

Combine like terms: 5.1 + -0.5 = 4.6
0.9x = 4.6

Divide each side by '0.9'.
x = 5.111111111

Simplifying
x = 5.111111111