2(x+3)+55(x-1)=4(x-2)

Solution for 2(x+3)+55(x-1)=4(x-2) equation:

Simplifying
2(x + 3) + 55(x + -1) = 4(x + -2)

Reorder the terms:
2(3 + x) + 55(x + -1) = 4(x + -2)
(3 * 2 + x * 2) + 55(x + -1) = 4(x + -2)
(6 + 2x) + 55(x + -1) = 4(x + -2)

Reorder the terms:
6 + 2x + 55(-1 + x) = 4(x + -2)
6 + 2x + (-1 * 55 + x * 55) = 4(x + -2)
6 + 2x + (-55 + 55x) = 4(x + -2)

Reorder the terms:
6 + -55 + 2x + 55x = 4(x + -2)

Combine like terms: 6 + -55 = -49
-49 + 2x + 55x = 4(x + -2)

Combine like terms: 2x + 55x = 57x
-49 + 57x = 4(x + -2)

Reorder the terms:
-49 + 57x = 4(-2 + x)
-49 + 57x = (-2 * 4 + x * 4)
-49 + 57x = (-8 + 4x)

Solving
-49 + 57x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-49 + 57x + -4x = -8 + 4x + -4x

Combine like terms: 57x + -4x = 53x
-49 + 53x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-49 + 53x = -8 + 0
-49 + 53x = -8

Add '49' to each side of the equation.
-49 + 49 + 53x = -8 + 49

Combine like terms: -49 + 49 = 0
0 + 53x = -8 + 49
53x = -8 + 49

Combine like terms: -8 + 49 = 41
53x = 41

Divide each side by '53'.
x = 0.7735849057

Simplifying
x = 0.7735849057