4x+5(2x+8)+20=3x-1

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Solution for 4x+5(2x+8)+20=3x-1 equation: 


Simplifying
4x + 5(2x + 8) + 20 = 3x + -1

Reorder the terms:
4x + 5(8 + 2x) + 20 = 3x + -1
4x + (8 * 5 + 2x * 5) + 20 = 3x + -1
4x + (40 + 10x) + 20 = 3x + -1

Reorder the terms:
40 + 20 + 4x + 10x = 3x + -1

Combine like terms: 40 + 20 = 60
60 + 4x + 10x = 3x + -1

Combine like terms: 4x + 10x = 14x
60 + 14x = 3x + -1

Reorder the terms:
60 + 14x = -1 + 3x

Solving
60 + 14x = -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.
60 + 14x + -3x = -1 + 3x + -3x

Combine like terms: 14x + -3x = 11x
60 + 11x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + 11x = -1 + 0
60 + 11x = -1

Add '-60' to each side of the equation.
60 + -60 + 11x = -1 + -60

Combine like terms: 60 + -60 = 0
0 + 11x = -1 + -60
11x = -1 + -60

Combine like terms: -1 + -60 = -61
11x = -61

Divide each side by '11'.
x = -5.545454545

Simplifying
x = -5.545454545

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