3x+8=5(1-x)

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


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

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

Solving
8 + 3x = 5 + -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.
8 + 3x + 5x = 5 + -5x + 5x

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

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

Add '-8' to each side of the equation.
8 + -8 + 8x = 5 + -8

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

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

Divide each side by '8'.
x = -0.375

Simplifying
x = -0.375

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