4x-5=2x+12

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Solution for 4x-5=2x+12 equation:


Simplifying
4x + -5 = 2x + 12

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

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

Solving
-5 + 4x = 12 + 2x

Solving for variable 'x'.

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

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

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

Combine like terms: 2x + -2x = 0
-5 + 2x = 12 + 0
-5 + 2x = 12

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

Combine like terms: -5 + 5 = 0
0 + 2x = 12 + 5
2x = 12 + 5

Combine like terms: 12 + 5 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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