6-4(5x-4)=3(x+2)-7

Solution for 6-4(5x-4)=3(x+2)-7 equation:

Simplifying
6 + -4(5x + -4) = 3(x + 2) + -7

Reorder the terms:
6 + -4(-4 + 5x) = 3(x + 2) + -7
6 + (-4 * -4 + 5x * -4) = 3(x + 2) + -7
6 + (16 + -20x) = 3(x + 2) + -7

Combine like terms: 6 + 16 = 22
22 + -20x = 3(x + 2) + -7

Reorder the terms:
22 + -20x = 3(2 + x) + -7
22 + -20x = (2 * 3 + x * 3) + -7
22 + -20x = (6 + 3x) + -7

Reorder the terms:
22 + -20x = 6 + -7 + 3x

Combine like terms: 6 + -7 = -1
22 + -20x = -1 + 3x

Solving
22 + -20x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
22 + -20x + -3x = -1 + 3x + -3x

Combine like terms: -20x + -3x = -23x
22 + -23x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
22 + -23x = -1 + 0
22 + -23x = -1

Add '-22' to each side of the equation.
22 + -22 + -23x = -1 + -22

Combine like terms: 22 + -22 = 0
0 + -23x = -1 + -22
-23x = -1 + -22

Combine like terms: -1 + -22 = -23
-23x = -23

Divide each side by '-23'.
x = 1

Simplifying
x = 1