6(1+4x)=4(3+10x)

Solution for 6(1+4x)=4(3+10x) equation:

Simplifying
6(1 + 4x) = 4(3 + 10x)
(1 * 6 + 4x * 6) = 4(3 + 10x)
(6 + 24x) = 4(3 + 10x)
6 + 24x = (3 * 4 + 10x * 4)
6 + 24x = (12 + 40x)

Solving
6 + 24x = 12 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
6 + 24x + -40x = 12 + 40x + -40x

Combine like terms: 24x + -40x = -16x
6 + -16x = 12 + 40x + -40x

Combine like terms: 40x + -40x = 0
6 + -16x = 12 + 0
6 + -16x = 12

Add '-6' to each side of the equation.
6 + -6 + -16x = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = 12 + -6
-16x = 12 + -6

Combine like terms: 12 + -6 = 6
-16x = 6

Divide each side by '-16'.
x = -0.375

Simplifying
x = -0.375