5(2x+4)=3(x+5)-19

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Solution for 5(2x+4)=3(x+5)-19 equation:


Simplifying
5(2x + 4) = 3(x + 5) + -19

Reorder the terms:
5(4 + 2x) = 3(x + 5) + -19
(4 * 5 + 2x * 5) = 3(x + 5) + -19
(20 + 10x) = 3(x + 5) + -19

Reorder the terms:
20 + 10x = 3(5 + x) + -19
20 + 10x = (5 * 3 + x * 3) + -19
20 + 10x = (15 + 3x) + -19

Reorder the terms:
20 + 10x = 15 + -19 + 3x

Combine like terms: 15 + -19 = -4
20 + 10x = -4 + 3x

Solving
20 + 10x = -4 + 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.
20 + 10x + -3x = -4 + 3x + -3x

Combine like terms: 10x + -3x = 7x
20 + 7x = -4 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 7x = -4 + 0
20 + 7x = -4

Add '-20' to each side of the equation.
20 + -20 + 7x = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = -4 + -20
7x = -4 + -20

Combine like terms: -4 + -20 = -24
7x = -24

Divide each side by '7'.
x = -3.428571429

Simplifying
x = -3.428571429

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