0.70x+0.05(14-x)=0.10(46)

Solution for 0.70x+0.05(14-x)=0.10(46) equation:

Simplifying
0.70x + 0.05(14 + -1x) = 0.10(46)
0.70x + (14 * 0.05 + -1x * 0.05) = 0.10(46)
0.70x + (0.7 + -0.05x) = 0.10(46)

Reorder the terms:
0.7 + 0.70x + -0.05x = 0.10(46)

Combine like terms: 0.70x + -0.05x = 0.65x
0.7 + 0.65x = 0.10(46)

Multiply 0.10 * 46
0.7 + 0.65x = 4.6

Solving
0.7 + 0.65x = 4.6

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 + 0.65x = 4.6 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + 0.65x = 4.6 + -0.7
0.65x = 4.6 + -0.7

Combine like terms: 4.6 + -0.7 = 3.9
0.65x = 3.9

Divide each side by '0.65'.
x = 6

Simplifying
x = 6