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

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


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

Reorder the terms:
3(-2 + x) + -1 = 5 + -1x
(-2 * 3 + x * 3) + -1 = 5 + -1x
(-6 + 3x) + -1 = 5 + -1x

Reorder the terms:
-6 + -1 + 3x = 5 + -1x

Combine like terms: -6 + -1 = -7
-7 + 3x = 5 + -1x

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

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-7 + 3x + x = 5 + -1x + x

Combine like terms: 3x + x = 4x
-7 + 4x = 5 + -1x + x

Combine like terms: -1x + x = 0
-7 + 4x = 5 + 0
-7 + 4x = 5

Add '7' to each side of the equation.
-7 + 7 + 4x = 5 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 5 + 7
4x = 5 + 7

Combine like terms: 5 + 7 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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