Question

6 + 0.10x = 0.15x + 8

Answer 1

Simplifying
6 + 0.10x = 0.15x + 8

Reorder the terms:
6 + 0.10x = 8 + 0.15x

Solving
6 + 0.10x = 8 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
6 + 0.10x + -0.15x = 8 + 0.15x + -0.15x

Combine like terms: 0.10x + -0.15x = -0.05x
6 + -0.05x = 8 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
6 + -0.05x = 8 + 0.00
6 + -0.05x = 8

Add '-6' to each side of the equation.
6 + -6 + -0.05x = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -0.05x = 8 + -6
-0.05x = 8 + -6

Combine like terms: 8 + -6 = 2
-0.05x = 2

Divide each side by '-0.05'.
x = -40

Simplifying
x = -40

Here’s the answer :)