3(5x+1)=-2x-8

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Solution for 3(5x+1)=-2x-8 equation:


Simplifying
3(5x + 1) = -2x + -8

Reorder the terms:
3(1 + 5x) = -2x + -8
(1 * 3 + 5x * 3) = -2x + -8
(3 + 15x) = -2x + -8

Reorder the terms:
3 + 15x = -8 + -2x

Solving
3 + 15x = -8 + -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.
3 + 15x + 2x = -8 + -2x + 2x

Combine like terms: 15x + 2x = 17x
3 + 17x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
3 + 17x = -8 + 0
3 + 17x = -8

Add '-3' to each side of the equation.
3 + -3 + 17x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + 17x = -8 + -3
17x = -8 + -3

Combine like terms: -8 + -3 = -11
17x = -11

Divide each side by '17'.
x = -0.6470588235

Simplifying
x = -0.6470588235

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