-5(3x+8)=5x+2

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Solution for -5(3x+8)=5x+2 equation:


Simplifying
-5(3x + 8) = 5x + 2

Reorder the terms:
-5(8 + 3x) = 5x + 2
(8 * -5 + 3x * -5) = 5x + 2
(-40 + -15x) = 5x + 2

Reorder the terms:
-40 + -15x = 2 + 5x

Solving
-40 + -15x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-40 + -15x + -5x = 2 + 5x + -5x

Combine like terms: -15x + -5x = -20x
-40 + -20x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-40 + -20x = 2 + 0
-40 + -20x = 2

Add '40' to each side of the equation.
-40 + 40 + -20x = 2 + 40

Combine like terms: -40 + 40 = 0
0 + -20x = 2 + 40
-20x = 2 + 40

Combine like terms: 2 + 40 = 42
-20x = 42

Divide each side by '-20'.
x = -2.1

Simplifying
x = -2.1

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