0.70x+0.05(8-x)=0.10(-61)

Solution for 0.70x+0.05(8-x)=0.10(-61) equation:

Simplifying
0.70x + 0.05(8 + -1x) = 0.10(-61)
0.70x + (8 * 0.05 + -1x * 0.05) = 0.10(-61)
0.70x + (0.4 + -0.05x) = 0.10(-61)

Reorder the terms:
0.4 + 0.70x + -0.05x = 0.10(-61)

Combine like terms: 0.70x + -0.05x = 0.65x
0.4 + 0.65x = 0.10(-61)

Multiply 0.10 * -61
0.4 + 0.65x = -6.1

Solving
0.4 + 0.65x = -6.1

Solving for variable 'x'.

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

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.65x = -6.1 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.65x = -6.1 + -0.4
0.65x = -6.1 + -0.4

Combine like terms: -6.1 + -0.4 = -6.5
0.65x = -6.5

Divide each side by '0.65'.
x = -10

Simplifying
x = -10