3x-10=7x-2

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Solution for 3x-10=7x-2 equation:


Simplifying
3x + -10 = 7x + -2

Reorder the terms:
-10 + 3x = 7x + -2

Reorder the terms:
-10 + 3x = -2 + 7x

Solving
-10 + 3x = -2 + 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 = -2 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-10 + -4x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -4x = -2 + 0
-10 + -4x = -2

Add '10' to each side of the equation.
-10 + 10 + -4x = -2 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = -2 + 10
-4x = -2 + 10

Combine like terms: -2 + 10 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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