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

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


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

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

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

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

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

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

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

Combine like terms: 2x + -2x = 0
-2 + 1x = 8 + 0
-2 + 1x = 8

Add '2' to each side of the equation.
-2 + 2 + 1x = 8 + 2

Combine like terms: -2 + 2 = 0
0 + 1x = 8 + 2
1x = 8 + 2

Combine like terms: 8 + 2 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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