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

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


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

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

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

Reorder the terms:
-3 + 4x = 7 + -1x

Solving
-3 + 4x = 7 + -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.
-3 + 4x + x = 7 + -1x + x

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

Combine like terms: -1x + x = 0
-3 + 5x = 7 + 0
-3 + 5x = 7

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

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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