4(7-1)=3(2x+1)-4(x+6)

Solution for 4(7-1)=3(2x+1)-4(x+6) equation:

Simplifying
4(7 + -1) = 3(2x + 1) + -4(x + 6)

Combine like terms: 7 + -1 = 6
4(6) = 3(2x + 1) + -4(x + 6)

Multiply 4 * 6
24 = 3(2x + 1) + -4(x + 6)

Reorder the terms:
24 = 3(1 + 2x) + -4(x + 6)
24 = (1 * 3 + 2x * 3) + -4(x + 6)
24 = (3 + 6x) + -4(x + 6)

Reorder the terms:
24 = 3 + 6x + -4(6 + x)
24 = 3 + 6x + (6 * -4 + x * -4)
24 = 3 + 6x + (-24 + -4x)

Reorder the terms:
24 = 3 + -24 + 6x + -4x

Combine like terms: 3 + -24 = -21
24 = -21 + 6x + -4x

Combine like terms: 6x + -4x = 2x
24 = -21 + 2x

Solving
24 = -21 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
24 + -2x = -21 + 2x + -2x

Combine like terms: 2x + -2x = 0
24 + -2x = -21 + 0
24 + -2x = -21

Add '-24' to each side of the equation.
24 + -24 + -2x = -21 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -21 + -24
-2x = -21 + -24

Combine like terms: -21 + -24 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5