6(3x+1)=8(8x+9)+4

Solution for 6(3x+1)=8(8x+9)+4 equation:

Simplifying
6(3x + 1) = 8(8x + 9) + 4

Reorder the terms:
6(1 + 3x) = 8(8x + 9) + 4
(1 * 6 + 3x * 6) = 8(8x + 9) + 4
(6 + 18x) = 8(8x + 9) + 4

Reorder the terms:
6 + 18x = 8(9 + 8x) + 4
6 + 18x = (9 * 8 + 8x * 8) + 4
6 + 18x = (72 + 64x) + 4

Reorder the terms:
6 + 18x = 72 + 4 + 64x

Combine like terms: 72 + 4 = 76
6 + 18x = 76 + 64x

Solving
6 + 18x = 76 + 64x

Solving for variable 'x'.

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

Add '-64x' to each side of the equation.
6 + 18x + -64x = 76 + 64x + -64x

Combine like terms: 18x + -64x = -46x
6 + -46x = 76 + 64x + -64x

Combine like terms: 64x + -64x = 0
6 + -46x = 76 + 0
6 + -46x = 76

Add '-6' to each side of the equation.
6 + -6 + -46x = 76 + -6

Combine like terms: 6 + -6 = 0
0 + -46x = 76 + -6
-46x = 76 + -6

Combine like terms: 76 + -6 = 70
-46x = 70

Divide each side by '-46'.
x = -1.52173913

Simplifying
x = -1.52173913