-4[2(x-7)+3]+20=10

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Solution for -4[2(x-7)+3]+20=10 equation: 


Simplifying
-4[2(x + -7) + 3] + 20 = 10

Reorder the terms:
-4[2(-7 + x) + 3] + 20 = 10
-4[(-7 * 2 + x * 2) + 3] + 20 = 10
-4[(-14 + 2x) + 3] + 20 = 10

Reorder the terms:
-4[-14 + 3 + 2x] + 20 = 10

Combine like terms: -14 + 3 = -11
-4[-11 + 2x] + 20 = 10
[-11 * -4 + 2x * -4] + 20 = 10
[44 + -8x] + 20 = 10

Reorder the terms:
44 + 20 + -8x = 10

Combine like terms: 44 + 20 = 64
64 + -8x = 10

Solving
64 + -8x = 10

Solving for variable 'x'.

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

Add '-64' to each side of the equation.
64 + -64 + -8x = 10 + -64

Combine like terms: 64 + -64 = 0
0 + -8x = 10 + -64
-8x = 10 + -64

Combine like terms: 10 + -64 = -54
-8x = -54

Divide each side by '-8'.
x = 6.75

Simplifying
x = 6.75

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