x+4x+(12x+20)=19x-1

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Solution for x+4x+(12x+20)=19x-1 equation:


Simplifying
x + 4x + (12x + 20) = 19x + -1

Reorder the terms:
x + 4x + (20 + 12x) = 19x + -1

Remove parenthesis around (20 + 12x)
x + 4x + 20 + 12x = 19x + -1

Reorder the terms:
20 + x + 4x + 12x = 19x + -1

Combine like terms: x + 4x = 5x
20 + 5x + 12x = 19x + -1

Combine like terms: 5x + 12x = 17x
20 + 17x = 19x + -1

Reorder the terms:
20 + 17x = -1 + 19x

Solving
20 + 17x = -1 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
20 + 17x + -19x = -1 + 19x + -19x

Combine like terms: 17x + -19x = -2x
20 + -2x = -1 + 19x + -19x

Combine like terms: 19x + -19x = 0
20 + -2x = -1 + 0
20 + -2x = -1

Add '-20' to each side of the equation.
20 + -20 + -2x = -1 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -1 + -20
-2x = -1 + -20

Combine like terms: -1 + -20 = -21
-2x = -21

Divide each side by '-2'.
x = 10.5

Simplifying
x = 10.5

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