3x+10=10x-12

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


Simplifying
3x + 10 = 10x + -12

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

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

Solving
10 + 3x = -12 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
10 + 3x + -10x = -12 + 10x + -10x

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

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

Add '-10' to each side of the equation.
10 + -10 + -7x = -12 + -10

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

Combine like terms: -12 + -10 = -22
-7x = -22

Divide each side by '-7'.
x = 3.142857143

Simplifying
x = 3.142857143

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