2(x-3)+(x-1)=7

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Solution for 2(x-3)+(x-1)=7 equation: 


Simplifying
2(x + -3) + (x + -1) = 7

Reorder the terms:
2(-3 + x) + (x + -1) = 7
(-3 * 2 + x * 2) + (x + -1) = 7
(-6 + 2x) + (x + -1) = 7

Reorder the terms:
-6 + 2x + (-1 + x) = 7

Remove parenthesis around (-1 + x)
-6 + 2x + -1 + x = 7

Reorder the terms:
-6 + -1 + 2x + x = 7

Combine like terms: -6 + -1 = -7
-7 + 2x + x = 7

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

Solving
-7 + 3x = 7

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 3x = 7 + 7

Combine like terms: -7 + 7 = 0
0 + 3x = 7 + 7
3x = 7 + 7

Combine like terms: 7 + 7 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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