5(x+4)-13=2x-19

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Solution for 5(x+4)-13=2x-19 equation: 


Simplifying
5(x + 4) + -13 = 2x + -19

Reorder the terms:
5(4 + x) + -13 = 2x + -19
(4 * 5 + x * 5) + -13 = 2x + -19
(20 + 5x) + -13 = 2x + -19

Reorder the terms:
20 + -13 + 5x = 2x + -19

Combine like terms: 20 + -13 = 7
7 + 5x = 2x + -19

Reorder the terms:
7 + 5x = -19 + 2x

Solving
7 + 5x = -19 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + 5x + -2x = -19 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = -19 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = -19 + 0
7 + 3x = -19

Add '-7' to each side of the equation.
7 + -7 + 3x = -19 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = -19 + -7
3x = -19 + -7

Combine like terms: -19 + -7 = -26
3x = -26

Divide each side by '3'.
x = -8.666666667

Simplifying
x = -8.666666667

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