0.65x+0.05(4-x)=0.10(-106)

Solution for 0.65x+0.05(4-x)=0.10(-106) equation:

Simplifying
0.65x + 0.05(4 + -1x) = 0.10(-106)
0.65x + (4 * 0.05 + -1x * 0.05) = 0.10(-106)
0.65x + (0.2 + -0.05x) = 0.10(-106)

Reorder the terms:
0.2 + 0.65x + -0.05x = 0.10(-106)

Combine like terms: 0.65x + -0.05x = 0.6x
0.2 + 0.6x = 0.10(-106)

Multiply 0.10 * -106
0.2 + 0.6x = -10.6

Solving
0.2 + 0.6x = -10.6

Solving for variable 'x'.

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

Add '-0.2' to each side of the equation.
0.2 + -0.2 + 0.6x = -10.6 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.6x = -10.6 + -0.2
0.6x = -10.6 + -0.2

Combine like terms: -10.6 + -0.2 = -10.8
0.6x = -10.8

Divide each side by '0.6'.
x = -18

Simplifying
x = -18