0.004(x+10)=0.010x-0.002

Solution for 0.004(x+10)=0.010x-0.002 equation:

Simplifying
0.004(x + 10) = 0.010x + -0.002

Reorder the terms:
0.004(10 + x) = 0.010x + -0.002
(10 * 0.004 + x * 0.004) = 0.010x + -0.002
(0.04 + 0.004x) = 0.010x + -0.002

Reorder the terms:
0.04 + 0.004x = -0.002 + 0.010x

Solving
0.04 + 0.004x = -0.002 + 0.010x

Solving for variable 'x'.

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

Add '-0.010x' to each side of the equation.
0.04 + 0.004x + -0.010x = -0.002 + 0.010x + -0.010x

Combine like terms: 0.004x + -0.010x = -0.006x
0.04 + -0.006x = -0.002 + 0.010x + -0.010x

Combine like terms: 0.010x + -0.010x = 0.000
0.04 + -0.006x = -0.002 + 0.000
0.04 + -0.006x = -0.002

Add '-0.04' to each side of the equation.
0.04 + -0.04 + -0.006x = -0.002 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -0.006x = -0.002 + -0.04
-0.006x = -0.002 + -0.04

Combine like terms: -0.002 + -0.04 = -0.042
-0.006x = -0.042

Divide each side by '-0.006'.
x = 7

Simplifying
x = 7