3(x-2)-(1-x)=13

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Solution for 3(x-2)-(1-x)=13 equation:


Simplifying
3(x + -2) + -1(1 + -1x) = 13

Reorder the terms:
3(-2 + x) + -1(1 + -1x) = 13
(-2 * 3 + x * 3) + -1(1 + -1x) = 13
(-6 + 3x) + -1(1 + -1x) = 13
-6 + 3x + (1 * -1 + -1x * -1) = 13
-6 + 3x + (-1 + 1x) = 13

Reorder the terms:
-6 + -1 + 3x + 1x = 13

Combine like terms: -6 + -1 = -7
-7 + 3x + 1x = 13

Combine like terms: 3x + 1x = 4x
-7 + 4x = 13

Solving
-7 + 4x = 13

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 + 4x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 13 + 7
4x = 13 + 7

Combine like terms: 13 + 7 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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