10x-5=3x+12

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Solution for 10x-5=3x+12 equation:


Simplifying
10x + -5 = 3x + 12

Reorder the terms:
-5 + 10x = 3x + 12

Reorder the terms:
-5 + 10x = 12 + 3x

Solving
-5 + 10x = 12 + 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 + 10x + -3x = 12 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-5 + 7x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 7x = 12 + 0
-5 + 7x = 12

Add '5' to each side of the equation.
-5 + 5 + 7x = 12 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 12 + 5
7x = 12 + 5

Combine like terms: 12 + 5 = 17
7x = 17

Divide each side by '7'.
x = 2.428571429

Simplifying
x = 2.428571429

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