3(x+5)=-5x+31

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Solution for 3(x+5)=-5x+31 equation:


Simplifying
3(x + 5) = -5x + 31

Reorder the terms:
3(5 + x) = -5x + 31
(5 * 3 + x * 3) = -5x + 31
(15 + 3x) = -5x + 31

Reorder the terms:
15 + 3x = 31 + -5x

Solving
15 + 3x = 31 + -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.
15 + 3x + 5x = 31 + -5x + 5x

Combine like terms: 3x + 5x = 8x
15 + 8x = 31 + -5x + 5x

Combine like terms: -5x + 5x = 0
15 + 8x = 31 + 0
15 + 8x = 31

Add '-15' to each side of the equation.
15 + -15 + 8x = 31 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = 31 + -15
8x = 31 + -15

Combine like terms: 31 + -15 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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