6(3x+1)=7(8x+4)+4

Solution for 6(3x+1)=7(8x+4)+4 equation:

Simplifying
6(3x + 1) = 7(8x + 4) + 4

Reorder the terms:
6(1 + 3x) = 7(8x + 4) + 4
(1 * 6 + 3x * 6) = 7(8x + 4) + 4
(6 + 18x) = 7(8x + 4) + 4

Reorder the terms:
6 + 18x = 7(4 + 8x) + 4
6 + 18x = (4 * 7 + 8x * 7) + 4
6 + 18x = (28 + 56x) + 4

Reorder the terms:
6 + 18x = 28 + 4 + 56x

Combine like terms: 28 + 4 = 32
6 + 18x = 32 + 56x

Solving
6 + 18x = 32 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
6 + 18x + -56x = 32 + 56x + -56x

Combine like terms: 18x + -56x = -38x
6 + -38x = 32 + 56x + -56x

Combine like terms: 56x + -56x = 0
6 + -38x = 32 + 0
6 + -38x = 32

Add '-6' to each side of the equation.
6 + -6 + -38x = 32 + -6

Combine like terms: 6 + -6 = 0
0 + -38x = 32 + -6
-38x = 32 + -6

Combine like terms: 32 + -6 = 26
-38x = 26

Divide each side by '-38'.
x = -0.6842105263

Simplifying
x = -0.6842105263