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

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


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

Reorder the terms:
-3 + 3x + 1x = 2x + 8

Combine like terms: 3x + 1x = 4x
-3 + 4x = 2x + 8

Reorder the terms:
-3 + 4x = 8 + 2x

Solving
-3 + 4x = 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 + 4x + -2x = 8 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = 8 + 2x + -2x

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

Add '3' to each side of the equation.
-3 + 3 + 2x = 8 + 3

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

Combine like terms: 8 + 3 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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