2x-5=x(3-7)+12

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Solution for 2x-5=x(3-7)+12 equation:


Simplifying
2x + -5 = x(3 + -7) + 12

Reorder the terms:
-5 + 2x = x(3 + -7) + 12

Combine like terms: 3 + -7 = -4
-5 + 2x = x(-4) + 12

Reorder the terms for easier multiplication:
-5 + 2x = -4x + 12

Reorder the terms:
-5 + 2x = 12 + -4x

Solving
-5 + 2x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-5 + 2x + 4x = 12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-5 + 6x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-5 + 6x = 12 + 0
-5 + 6x = 12

Add '5' to each side of the equation.
-5 + 5 + 6x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 12 + 5
6x = 12 + 5

Combine like terms: 12 + 5 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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