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

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


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

Reorder the terms:
3(-3 + x) + 2 = x + -5
(-3 * 3 + x * 3) + 2 = x + -5
(-9 + 3x) + 2 = x + -5

Reorder the terms:
-9 + 2 + 3x = x + -5

Combine like terms: -9 + 2 = -7
-7 + 3x = x + -5

Reorder the terms:
-7 + 3x = -5 + x

Solving
-7 + 3x = -5 + 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.
-7 + 3x + -1x = -5 + x + -1x

Combine like terms: 3x + -1x = 2x
-7 + 2x = -5 + x + -1x

Combine like terms: x + -1x = 0
-7 + 2x = -5 + 0
-7 + 2x = -5

Add '7' to each side of the equation.
-7 + 7 + 2x = -5 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -5 + 7
2x = -5 + 7

Combine like terms: -5 + 7 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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