5+4[7[5(2x-3)+8]-6]+7x=9-2[3[5(6x-4)-2x]+5x]+13

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Solution for 5+4[7[5(2x-3)+8]-6]+7x=9-2[3[5(6x-4)-2x]+5x]+13 equation:


Simplifying
5 + 4[7[5(2x + -3) + 8] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Reorder the terms:
5 + 4[7[5(-3 + 2x) + 8] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13
5 + 4[7[(-3 * 5 + 2x * 5) + 8] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13
5 + 4[7[(-15 + 10x) + 8] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Reorder the terms:
5 + 4[7[-15 + 8 + 10x] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Combine like terms: -15 + 8 = -7
5 + 4[7[-7 + 10x] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13
5 + 4[[-7 * 7 + 10x * 7] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13
5 + 4[[-49 + 70x] + -6] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Reorder the terms:
5 + 4[-49 + -6 + 70x] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Combine like terms: -49 + -6 = -55
5 + 4[-55 + 70x] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13
5 + [-55 * 4 + 70x * 4] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13
5 + [-220 + 280x] + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Combine like terms: 5 + -220 = -215
-215 + 280x + 7x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Combine like terms: 280x + 7x = 287x
-215 + 287x = 9 + -2[3[5(6x + -4) + -2x] + 5x] + 13

Reorder the terms:
-215 + 287x = 9 + -2[3[5(-4 + 6x) + -2x] + 5x] + 13
-215 + 287x = 9 + -2[3[(-4 * 5 + 6x * 5) + -2x] + 5x] + 13
-215 + 287x = 9 + -2[3[(-20 + 30x) + -2x] + 5x] + 13

Combine like terms: 30x + -2x = 28x
-215 + 287x = 9 + -2[3[-20 + 28x] + 5x] + 13
-215 + 287x = 9 + -2[[-20 * 3 + 28x * 3] + 5x] + 13
-215 + 287x = 9 + -2[[-60 + 84x] + 5x] + 13

Combine like terms: 84x + 5x = 89x
-215 + 287x = 9 + -2[-60 + 89x] + 13
-215 + 287x = 9 + [-60 * -2 + 89x * -2] + 13
-215 + 287x = 9 + [120 + -178x] + 13

Reorder the terms:
-215 + 287x = 9 + 120 + 13 + -178x

Combine like terms: 9 + 120 = 129
-215 + 287x = 129 + 13 + -178x

Combine like terms: 129 + 13 = 142
-215 + 287x = 142 + -178x

Solving
-215 + 287x = 142 + -178x

Solving for variable 'x'.

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

Add '178x' to each side of the equation.
-215 + 287x + 178x = 142 + -178x + 178x

Combine like terms: 287x + 178x = 465x
-215 + 465x = 142 + -178x + 178x

Combine like terms: -178x + 178x = 0
-215 + 465x = 142 + 0
-215 + 465x = 142

Add '215' to each side of the equation.
-215 + 215 + 465x = 142 + 215

Combine like terms: -215 + 215 = 0
0 + 465x = 142 + 215
465x = 142 + 215

Combine like terms: 142 + 215 = 357
465x = 357

Divide each side by '465'.
x = 0.7677419355

Simplifying
x = 0.7677419355

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