6[7-2(5-x)]-3=4[4(2x-2)+9]-41

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Solution for 6[7-2(5-x)]-3=4[4(2x-2)+9]-41 equation: 


Simplifying
6[7 + -2(5 + -1x)] + -3 = 4[4(2x + -2) + 9] + -41
6[7 + (5 * -2 + -1x * -2)] + -3 = 4[4(2x + -2) + 9] + -41
6[7 + (-10 + 2x)] + -3 = 4[4(2x + -2) + 9] + -41

Combine like terms: 7 + -10 = -3
6[-3 + 2x] + -3 = 4[4(2x + -2) + 9] + -41
[-3 * 6 + 2x * 6] + -3 = 4[4(2x + -2) + 9] + -41
[-18 + 12x] + -3 = 4[4(2x + -2) + 9] + -41

Reorder the terms:
-18 + -3 + 12x = 4[4(2x + -2) + 9] + -41

Combine like terms: -18 + -3 = -21
-21 + 12x = 4[4(2x + -2) + 9] + -41

Reorder the terms:
-21 + 12x = 4[4(-2 + 2x) + 9] + -41
-21 + 12x = 4[(-2 * 4 + 2x * 4) + 9] + -41
-21 + 12x = 4[(-8 + 8x) + 9] + -41

Reorder the terms:
-21 + 12x = 4[-8 + 9 + 8x] + -41

Combine like terms: -8 + 9 = 1
-21 + 12x = 4[1 + 8x] + -41
-21 + 12x = [1 * 4 + 8x * 4] + -41
-21 + 12x = [4 + 32x] + -41

Reorder the terms:
-21 + 12x = 4 + -41 + 32x

Combine like terms: 4 + -41 = -37
-21 + 12x = -37 + 32x

Solving
-21 + 12x = -37 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-21 + 12x + -32x = -37 + 32x + -32x

Combine like terms: 12x + -32x = -20x
-21 + -20x = -37 + 32x + -32x

Combine like terms: 32x + -32x = 0
-21 + -20x = -37 + 0
-21 + -20x = -37

Add '21' to each side of the equation.
-21 + 21 + -20x = -37 + 21

Combine like terms: -21 + 21 = 0
0 + -20x = -37 + 21
-20x = -37 + 21

Combine like terms: -37 + 21 = -16
-20x = -16

Divide each side by '-20'.
x = 0.8

Simplifying
x = 0.8

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