3-0.1(c-4)=0.4(3c-4)

Solution for 3-0.1(c-4)=0.4(3c-4) equation:

Simplifying
3 + -0.1(c + -4) = 0.4(3c + -4)

Reorder the terms:
3 + -0.1(-4 + c) = 0.4(3c + -4)
3 + (-4 * -0.1 + c * -0.1) = 0.4(3c + -4)
3 + (0.4 + -0.1c) = 0.4(3c + -4)

Combine like terms: 3 + 0.4 = 3.4
3.4 + -0.1c = 0.4(3c + -4)

Reorder the terms:
3.4 + -0.1c = 0.4(-4 + 3c)
3.4 + -0.1c = (-4 * 0.4 + 3c * 0.4)
3.4 + -0.1c = (-1.6 + 1.2c)

Solving
3.4 + -0.1c = -1.6 + 1.2c

Solving for variable 'c'.

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

Add '-1.2c' to each side of the equation.
3.4 + -0.1c + -1.2c = -1.6 + 1.2c + -1.2c

Combine like terms: -0.1c + -1.2c = -1.3c
3.4 + -1.3c = -1.6 + 1.2c + -1.2c

Combine like terms: 1.2c + -1.2c = 0.0
3.4 + -1.3c = -1.6 + 0.0
3.4 + -1.3c = -1.6

Add '-3.4' to each side of the equation.
3.4 + -3.4 + -1.3c = -1.6 + -3.4

Combine like terms: 3.4 + -3.4 = 0.0
0.0 + -1.3c = -1.6 + -3.4
-1.3c = -1.6 + -3.4

Combine like terms: -1.6 + -3.4 = -5
-1.3c = -5

Divide each side by '-1.3'.
c = 3.846153846

Simplifying
c = 3.846153846