x-5=-3x+7

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Solution for x-5=-3x+7 equation:


Simplifying
x + -5 = -3x + 7

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

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

Solving
-5 + x = 7 + -3x

Solving for variable 'x'.

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

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

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

Combine like terms: -3x + 3x = 0
-5 + 4x = 7 + 0
-5 + 4x = 7

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

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

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

Divide each side by '4'.
x = 3

Simplifying
x = 3

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