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

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


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

Reorder the terms:
3(-5 + x) + 1 = x + 2
(-5 * 3 + x * 3) + 1 = x + 2
(-15 + 3x) + 1 = x + 2

Reorder the terms:
-15 + 1 + 3x = x + 2

Combine like terms: -15 + 1 = -14
-14 + 3x = x + 2

Reorder the terms:
-14 + 3x = 2 + x

Solving
-14 + 3x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-14 + 3x + -1x = 2 + x + -1x

Combine like terms: 3x + -1x = 2x
-14 + 2x = 2 + x + -1x

Combine like terms: x + -1x = 0
-14 + 2x = 2 + 0
-14 + 2x = 2

Add '14' to each side of the equation.
-14 + 14 + 2x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 2x = 2 + 14
2x = 2 + 14

Combine like terms: 2 + 14 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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