5(4x+3)+8=-4x-49

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Solution for 5(4x+3)+8=-4x-49 equation:


Simplifying
5(4x + 3) + 8 = -4x + -49

Reorder the terms:
5(3 + 4x) + 8 = -4x + -49
(3 * 5 + 4x * 5) + 8 = -4x + -49
(15 + 20x) + 8 = -4x + -49

Reorder the terms:
15 + 8 + 20x = -4x + -49

Combine like terms: 15 + 8 = 23
23 + 20x = -4x + -49

Reorder the terms:
23 + 20x = -49 + -4x

Solving
23 + 20x = -49 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
23 + 20x + 4x = -49 + -4x + 4x

Combine like terms: 20x + 4x = 24x
23 + 24x = -49 + -4x + 4x

Combine like terms: -4x + 4x = 0
23 + 24x = -49 + 0
23 + 24x = -49

Add '-23' to each side of the equation.
23 + -23 + 24x = -49 + -23

Combine like terms: 23 + -23 = 0
0 + 24x = -49 + -23
24x = -49 + -23

Combine like terms: -49 + -23 = -72
24x = -72

Divide each side by '24'.
x = -3

Simplifying
x = -3

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