3x-10=-7x+12

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Solution for 3x-10=-7x+12 equation:


Simplifying
3x + -10 = -7x + 12

Reorder the terms:
-10 + 3x = -7x + 12

Reorder the terms:
-10 + 3x = 12 + -7x

Solving
-10 + 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.
-10 + 3x + 7x = 12 + -7x + 7x

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

Combine like terms: -7x + 7x = 0
-10 + 10x = 12 + 0
-10 + 10x = 12

Add '10' to each side of the equation.
-10 + 10 + 10x = 12 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 12 + 10
10x = 12 + 10

Combine like terms: 12 + 10 = 22
10x = 22

Divide each side by '10'.
x = 2.2

Simplifying
x = 2.2

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