0.90x+0.05(4-x)=0.10(-49)

Solution for 0.90x+0.05(4-x)=0.10(-49) equation:

Simplifying
0.90x + 0.05(4 + -1x) = 0.10(-49)
0.90x + (4 * 0.05 + -1x * 0.05) = 0.10(-49)
0.90x + (0.2 + -0.05x) = 0.10(-49)

Reorder the terms:
0.2 + 0.90x + -0.05x = 0.10(-49)

Combine like terms: 0.90x + -0.05x = 0.85x
0.2 + 0.85x = 0.10(-49)

Multiply 0.10 * -49
0.2 + 0.85x = -4.9

Solving
0.2 + 0.85x = -4.9

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 + 0.85x = -4.9 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + 0.85x = -4.9 + -0.2
0.85x = -4.9 + -0.2

Combine like terms: -4.9 + -0.2 = -5.1
0.85x = -5.1

Divide each side by '0.85'.
x = -6

Simplifying
x = -6