12.2(6.1x-3.9)-7.7=7.6-(4-x)

Solution for 12.2(6.1x-3.9)-7.7=7.6-(4-x) equation:

Simplifying
12.2(6.1x + -3.9) + -7.7 = 7.6 + -1(4 + -1x)

Reorder the terms:
12.2(-3.9 + 6.1x) + -7.7 = 7.6 + -1(4 + -1x)
(-3.9 * 12.2 + 6.1x * 12.2) + -7.7 = 7.6 + -1(4 + -1x)
(-47.58 + 74.42x) + -7.7 = 7.6 + -1(4 + -1x)

Reorder the terms:
-47.58 + -7.7 + 74.42x = 7.6 + -1(4 + -1x)

Combine like terms: -47.58 + -7.7 = -55.28
-55.28 + 74.42x = 7.6 + -1(4 + -1x)
-55.28 + 74.42x = 7.6 + (4 * -1 + -1x * -1)
-55.28 + 74.42x = 7.6 + (-4 + 1x)

Combine like terms: 7.6 + -4 = 3.6
-55.28 + 74.42x = 3.6 + 1x

Solving
-55.28 + 74.42x = 3.6 + 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.
-55.28 + 74.42x + -1x = 3.6 + 1x + -1x

Combine like terms: 74.42x + -1x = 73.42x
-55.28 + 73.42x = 3.6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-55.28 + 73.42x = 3.6 + 0
-55.28 + 73.42x = 3.6

Add '55.28' to each side of the equation.
-55.28 + 55.28 + 73.42x = 3.6 + 55.28

Combine like terms: -55.28 + 55.28 = 0.00
0.00 + 73.42x = 3.6 + 55.28
73.42x = 3.6 + 55.28

Combine like terms: 3.6 + 55.28 = 58.88
73.42x = 58.88

Divide each side by '73.42'.
x = 0.8019613184

Simplifying
x = 0.8019613184