.34x+1.6=.425(x+5)-.2

Solution for .34x+1.6=.425(x+5)-.2 equation:

Simplifying
0.34x + 1.6 = 0.425(x + 5) + -0.2

Reorder the terms:
1.6 + 0.34x = 0.425(x + 5) + -0.2

Reorder the terms:
1.6 + 0.34x = 0.425(5 + x) + -0.2
1.6 + 0.34x = (5 * 0.425 + x * 0.425) + -0.2
1.6 + 0.34x = (2.125 + 0.425x) + -0.2

Reorder the terms:
1.6 + 0.34x = 2.125 + -0.2 + 0.425x

Combine like terms: 2.125 + -0.2 = 1.925
1.6 + 0.34x = 1.925 + 0.425x

Solving
1.6 + 0.34x = 1.925 + 0.425x

Solving for variable 'x'.

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

Add '-0.425x' to each side of the equation.
1.6 + 0.34x + -0.425x = 1.925 + 0.425x + -0.425x

Combine like terms: 0.34x + -0.425x = -0.085x
1.6 + -0.085x = 1.925 + 0.425x + -0.425x

Combine like terms: 0.425x + -0.425x = 0.000
1.6 + -0.085x = 1.925 + 0.000
1.6 + -0.085x = 1.925

Add '-1.6' to each side of the equation.
1.6 + -1.6 + -0.085x = 1.925 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -0.085x = 1.925 + -1.6
-0.085x = 1.925 + -1.6

Combine like terms: 1.925 + -1.6 = 0.325
-0.085x = 0.325

Divide each side by '-0.085'.
x = -3.823529412

Simplifying
x = -3.823529412