2*5x+1*4x+6=3*10x

Solution for 2*5x+1*4x+6=3*10x equation:

Simplifying
2 * 5x + 1 * 4x + 6 = 3 * 10x

Multiply 2 * 5
10x + 1 * 4x + 6 = 3 * 10x

Multiply 1 * 4
10x + 4x + 6 = 3 * 10x

Reorder the terms:
6 + 10x + 4x = 3 * 10x

Combine like terms: 10x + 4x = 14x
6 + 14x = 3 * 10x

Multiply 3 * 10
6 + 14x = 30x

Solving
6 + 14x = 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
6 + 14x + -30x = 30x + -30x

Combine like terms: 14x + -30x = -16x
6 + -16x = 30x + -30x

Combine like terms: 30x + -30x = 0
6 + -16x = 0

Add '-6' to each side of the equation.
6 + -6 + -16x = 0 + -6

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

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

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

Simplifying
x = 0.375