(5x+6)-1(3+4x)=10

Solution for (5x+6)-1(3+4x)=10 equation:

Simplifying
(5x + 6) + -1(3 + 4x) = 10

Reorder the terms:
(6 + 5x) + -1(3 + 4x) = 10

Remove parenthesis around (6 + 5x)
6 + 5x + -1(3 + 4x) = 10
6 + 5x + (3 * -1 + 4x * -1) = 10
6 + 5x + (-3 + -4x) = 10

Reorder the terms:
6 + -3 + 5x + -4x = 10

Combine like terms: 6 + -3 = 3
3 + 5x + -4x = 10

Combine like terms: 5x + -4x = 1x
3 + 1x = 10

Solving
3 + 1x = 10

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 1x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 10 + -3
1x = 10 + -3

Combine like terms: 10 + -3 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7