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

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

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

Reorder the terms:
4(-1 + 2x) + -1(4x + -3) = 10
(-1 * 4 + 2x * 4) + -1(4x + -3) = 10
(-4 + 8x) + -1(4x + -3) = 10

Reorder the terms:
-4 + 8x + -1(-3 + 4x) = 10
-4 + 8x + (-3 * -1 + 4x * -1) = 10
-4 + 8x + (3 + -4x) = 10

Reorder the terms:
-4 + 3 + 8x + -4x = 10

Combine like terms: -4 + 3 = -1
-1 + 8x + -4x = 10

Combine like terms: 8x + -4x = 4x
-1 + 4x = 10

Solving
-1 + 4x = 10

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 4x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 10 + 1
4x = 10 + 1

Combine like terms: 10 + 1 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75