4[6-6(2-x)]-1=2[5(4x-1)+8]-43

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Solution for 4[6-6(2-x)]-1=2[5(4x-1)+8]-43 equation: 


Simplifying
4[6 + -6(2 + -1x)] + -1 = 2[5(4x + -1) + 8] + -43
4[6 + (2 * -6 + -1x * -6)] + -1 = 2[5(4x + -1) + 8] + -43
4[6 + (-12 + 6x)] + -1 = 2[5(4x + -1) + 8] + -43

Combine like terms: 6 + -12 = -6
4[-6 + 6x] + -1 = 2[5(4x + -1) + 8] + -43
[-6 * 4 + 6x * 4] + -1 = 2[5(4x + -1) + 8] + -43
[-24 + 24x] + -1 = 2[5(4x + -1) + 8] + -43

Reorder the terms:
-24 + -1 + 24x = 2[5(4x + -1) + 8] + -43

Combine like terms: -24 + -1 = -25
-25 + 24x = 2[5(4x + -1) + 8] + -43

Reorder the terms:
-25 + 24x = 2[5(-1 + 4x) + 8] + -43
-25 + 24x = 2[(-1 * 5 + 4x * 5) + 8] + -43
-25 + 24x = 2[(-5 + 20x) + 8] + -43

Reorder the terms:
-25 + 24x = 2[-5 + 8 + 20x] + -43

Combine like terms: -5 + 8 = 3
-25 + 24x = 2[3 + 20x] + -43
-25 + 24x = [3 * 2 + 20x * 2] + -43
-25 + 24x = [6 + 40x] + -43

Reorder the terms:
-25 + 24x = 6 + -43 + 40x

Combine like terms: 6 + -43 = -37
-25 + 24x = -37 + 40x

Solving
-25 + 24x = -37 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-25 + 24x + -40x = -37 + 40x + -40x

Combine like terms: 24x + -40x = -16x
-25 + -16x = -37 + 40x + -40x

Combine like terms: 40x + -40x = 0
-25 + -16x = -37 + 0
-25 + -16x = -37

Add '25' to each side of the equation.
-25 + 25 + -16x = -37 + 25

Combine like terms: -25 + 25 = 0
0 + -16x = -37 + 25
-16x = -37 + 25

Combine like terms: -37 + 25 = -12
-16x = -12

Divide each side by '-16'.
x = 0.75

Simplifying
x = 0.75

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