0.75x+0.05(14-x)=0.10(-35)

Solution for 0.75x+0.05(14-x)=0.10(-35) equation:

Simplifying
0.75x + 0.05(14 + -1x) = 0.10(-35)
0.75x + (14 * 0.05 + -1x * 0.05) = 0.10(-35)
0.75x + (0.7 + -0.05x) = 0.10(-35)

Reorder the terms:
0.7 + 0.75x + -0.05x = 0.10(-35)

Combine like terms: 0.75x + -0.05x = 0.7x
0.7 + 0.7x = 0.10(-35)

Multiply 0.10 * -35
0.7 + 0.7x = -3.5

Solving
0.7 + 0.7x = -3.5

Solving for variable 'x'.

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

Add '-0.7' to each side of the equation.
0.7 + -0.7 + 0.7x = -3.5 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.7x = -3.5 + -0.7
0.7x = -3.5 + -0.7

Combine like terms: -3.5 + -0.7 = -4.2
0.7x = -4.2

Divide each side by '0.7'.
x = -6

Simplifying
x = -6