5(3x+8)=-38+33

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Solution for 5(3x+8)=-38+33 equation:


Simplifying
5(3x + 8) = -38 + 33

Reorder the terms:
5(8 + 3x) = -38 + 33
(8 * 5 + 3x * 5) = -38 + 33
(40 + 15x) = -38 + 33

Combine like terms: -38 + 33 = -5
40 + 15x = -5

Solving
40 + 15x = -5

Solving for variable 'x'.

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

Add '-40' to each side of the equation.
40 + -40 + 15x = -5 + -40

Combine like terms: 40 + -40 = 0
0 + 15x = -5 + -40
15x = -5 + -40

Combine like terms: -5 + -40 = -45
15x = -45

Divide each side by '15'.
x = -3

Simplifying
x = -3

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