5(2x+4)=(x+5)-19

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Solution for 5(2x+4)=(x+5)-19 equation:


Simplifying
5(2x + 4) = (x + 5) + -19

Reorder the terms:
5(4 + 2x) = (x + 5) + -19
(4 * 5 + 2x * 5) = (x + 5) + -19
(20 + 10x) = (x + 5) + -19

Reorder the terms:
20 + 10x = (5 + x) + -19

Remove parenthesis around (5 + x)
20 + 10x = 5 + x + -19

Reorder the terms:
20 + 10x = 5 + -19 + x

Combine like terms: 5 + -19 = -14
20 + 10x = -14 + x

Solving
20 + 10x = -14 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
20 + 10x + -1x = -14 + x + -1x

Combine like terms: 10x + -1x = 9x
20 + 9x = -14 + x + -1x

Combine like terms: x + -1x = 0
20 + 9x = -14 + 0
20 + 9x = -14

Add '-20' to each side of the equation.
20 + -20 + 9x = -14 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = -14 + -20
9x = -14 + -20

Combine like terms: -14 + -20 = -34
9x = -34

Divide each side by '9'.
x = -3.777777778

Simplifying
x = -3.777777778

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