0.2(x-6)+1=2(x-10)-3

Solution for 0.2(x-6)+1=2(x-10)-3 equation:

Simplifying
0.2(x + -6) + 1 = 2(x + -10) + -3

Reorder the terms:
0.2(-6 + x) + 1 = 2(x + -10) + -3
(-6 * 0.2 + x * 0.2) + 1 = 2(x + -10) + -3
(-1.2 + 0.2x) + 1 = 2(x + -10) + -3

Reorder the terms:
-1.2 + 1 + 0.2x = 2(x + -10) + -3

Combine like terms: -1.2 + 1 = -0.2
-0.2 + 0.2x = 2(x + -10) + -3

Reorder the terms:
-0.2 + 0.2x = 2(-10 + x) + -3
-0.2 + 0.2x = (-10 * 2 + x * 2) + -3
-0.2 + 0.2x = (-20 + 2x) + -3

Reorder the terms:
-0.2 + 0.2x = -20 + -3 + 2x

Combine like terms: -20 + -3 = -23
-0.2 + 0.2x = -23 + 2x

Solving
-0.2 + 0.2x = -23 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-0.2 + 0.2x + -2x = -23 + 2x + -2x

Combine like terms: 0.2x + -2x = -1.8x
-0.2 + -1.8x = -23 + 2x + -2x

Combine like terms: 2x + -2x = 0
-0.2 + -1.8x = -23 + 0
-0.2 + -1.8x = -23

Add '0.2' to each side of the equation.
-0.2 + 0.2 + -1.8x = -23 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + -1.8x = -23 + 0.2
-1.8x = -23 + 0.2

Combine like terms: -23 + 0.2 = -22.8
-1.8x = -22.8

Divide each side by '-1.8'.
x = 12.66666667

Simplifying
x = 12.66666667