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

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


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

Reorder the terms:
2(-3 + x) + 5x = x + 12
(-3 * 2 + x * 2) + 5x = x + 12
(-6 + 2x) + 5x = x + 12

Combine like terms: 2x + 5x = 7x
-6 + 7x = x + 12

Reorder the terms:
-6 + 7x = 12 + x

Solving
-6 + 7x = 12 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-6 + 7x + -1x = 12 + x + -1x

Combine like terms: 7x + -1x = 6x
-6 + 6x = 12 + x + -1x

Combine like terms: x + -1x = 0
-6 + 6x = 12 + 0
-6 + 6x = 12

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

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

Combine like terms: 12 + 6 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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