5=3(x-2)+1

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


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

Reorder the terms:
5 = 3(-2 + x) + 1
5 = (-2 * 3 + x * 3) + 1
5 = (-6 + 3x) + 1

Reorder the terms:
5 = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
5 = -5 + 3x

Solving
5 = -5 + 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 + -3x = -5 + 3x + -3x

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

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

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

Combine like terms: -5 + -5 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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