0.70x+0.05(20-x)=0.10(23)

Solution for 0.70x+0.05(20-x)=0.10(23) equation:

Simplifying
0.70x + 0.05(20 + -1x) = 0.10(23)
0.70x + (20 * 0.05 + -1x * 0.05) = 0.10(23)
0.70x + (1 + -0.05x) = 0.10(23)

Reorder the terms:
1 + 0.70x + -0.05x = 0.10(23)

Combine like terms: 0.70x + -0.05x = 0.65x
1 + 0.65x = 0.10(23)

Multiply 0.10 * 23
1 + 0.65x = 2.3

Solving
1 + 0.65x = 2.3

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.65x = 2.3 + -1

Combine like terms: 1 + -1 = 0
0 + 0.65x = 2.3 + -1
0.65x = 2.3 + -1

Combine like terms: 2.3 + -1 = 1.3
0.65x = 1.3

Divide each side by '0.65'.
x = 2

Simplifying
x = 2