3(2x-1)-(4x+3)=10

Solution for 3(2x-1)-(4x+3)=10 equation:

Simplifying
3(2x + -1) + -1(4x + 3) = 10

Reorder the terms:
3(-1 + 2x) + -1(4x + 3) = 10
(-1 * 3 + 2x * 3) + -1(4x + 3) = 10
(-3 + 6x) + -1(4x + 3) = 10

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

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

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

Combine like terms: 6x + -4x = 2x
-6 + 2x = 10

Solving
-6 + 2x = 10

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 10 + 6
2x = 10 + 6

Combine like terms: 10 + 6 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8