0.05=0.65*[x+(x-0.07)0.5]

Solution for 0.05=0.65*[x+(x-0.07)0.5] equation:

Simplifying
0.05 = 0.65[x + (x + -0.07) * 0.5]

Reorder the terms:
0.05 = 0.65[x + (-0.07 + x) * 0.5]

Reorder the terms for easier multiplication:
0.05 = 0.65[x + 0.5(-0.07 + x)]
0.05 = 0.65[x + (-0.07 * 0.5 + x * 0.5)]
0.05 = 0.65[x + (-0.035 + 0.5x)]

Reorder the terms:
0.05 = 0.65[-0.035 + x + 0.5x]

Combine like terms: x + 0.5x = 1.5x
0.05 = 0.65[-0.035 + 1.5x]
0.05 = [-0.035 * 0.65 + 1.5x * 0.65]
0.05 = [-0.02275 + 0.975x]

Solving
0.05 = -0.02275 + 0.975x

Solving for variable 'x'.

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

Add '-0.975x' to each side of the equation.
0.05 + -0.975x = -0.02275 + 0.975x + -0.975x

Combine like terms: 0.975x + -0.975x = 0.000
0.05 + -0.975x = -0.02275 + 0.000
0.05 + -0.975x = -0.02275

Add '-0.05' to each side of the equation.
0.05 + -0.05 + -0.975x = -0.02275 + -0.05

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + -0.975x = -0.02275 + -0.05
-0.975x = -0.02275 + -0.05

Combine like terms: -0.02275 + -0.05 = -0.07275
-0.975x = -0.07275

Divide each side by '-0.975'.
x = 0.07461538462

Simplifying
x = 0.07461538462