3x+2=7x+12

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Solution for 3x+2=7x+12 equation:


Simplifying
3x + 2 = 7x + 12

Reorder the terms:
2 + 3x = 7x + 12

Reorder the terms:
2 + 3x = 12 + 7x

Solving
2 + 3x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 3x + -7x = 12 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
2 + -4x = 12 + 0
2 + -4x = 12

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

Combine like terms: 2 + -2 = 0
0 + -4x = 12 + -2
-4x = 12 + -2

Combine like terms: 12 + -2 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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