10x-6=x(4+3)

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

Simplifying
10x + -6 = x(4 + 3)

Reorder the terms:
-6 + 10x = x(4 + 3)

Combine like terms: 4 + 3 = 7
-6 + 10x = x(7)

Reorder the terms for easier multiplication:
-6 + 10x = 7x

Solving
-6 + 10x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-6 + 10x + -7x = 7x + -7x

Combine like terms: 10x + -7x = 3x
-6 + 3x = 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 3x = 0

Add '6' to each side of the equation.
-6 + 6 + 3x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 0 + 6
3x = 0 + 6

Combine like terms: 0 + 6 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2