5(1-x)=3x+2

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


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

Reorder the terms:
5 + -5x = 2 + 3x

Solving
5 + -5x = 2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + -5x + -3x = 2 + 3x + -3x

Combine like terms: -5x + -3x = -8x
5 + -8x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -8x = 2 + 0
5 + -8x = 2

Add '-5' to each side of the equation.
5 + -5 + -8x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -8x = 2 + -5
-8x = 2 + -5

Combine like terms: 2 + -5 = -3
-8x = -3

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

Simplifying
x = 0.375

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