2(.2x-3)+x=4(.25x-.50)

Solution for 2(.2x-3)+x=4(.25x-.50) equation:

Simplifying
2(0.2x + -3) + x = 4(0.25x + -0.50)

Reorder the terms:
2(-3 + 0.2x) + x = 4(0.25x + -0.50)
(-3 * 2 + 0.2x * 2) + x = 4(0.25x + -0.50)
(-6 + 0.4x) + x = 4(0.25x + -0.50)

Combine like terms: 0.4x + x = 1.4x
-6 + 1.4x = 4(0.25x + -0.50)

Reorder the terms:
-6 + 1.4x = 4(-0.50 + 0.25x)
-6 + 1.4x = (-0.50 * 4 + 0.25x * 4)
-6 + 1.4x = (-2 + 1x)

Solving
-6 + 1.4x = -2 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 1.4x + -1x = -2 + 1x + -1x

Combine like terms: 1.4x + -1x = 0.4x
-6 + 0.4x = -2 + 1x + -1x

Combine like terms: 1x + -1x = 0
-6 + 0.4x = -2 + 0
-6 + 0.4x = -2

Add '6' to each side of the equation.
-6 + 6 + 0.4x = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 0.4x = -2 + 6
0.4x = -2 + 6

Combine like terms: -2 + 6 = 4
0.4x = 4

Divide each side by '0.4'.
x = 10

Simplifying
x = 10