3(x+5)=8-x

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


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

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

Solving
15 + 3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
15 + 3x + x = 8 + -1x + x

Combine like terms: 3x + x = 4x
15 + 4x = 8 + -1x + x

Combine like terms: -1x + x = 0
15 + 4x = 8 + 0
15 + 4x = 8

Add '-15' to each side of the equation.
15 + -15 + 4x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 4x = 8 + -15
4x = 8 + -15

Combine like terms: 8 + -15 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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