10x-3=3x-10

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


Simplifying
10x + -3 = 3x + -10

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

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

Solving
-3 + 10x = -10 + 3x

Solving for variable 'x'.

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

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

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

Combine like terms: 3x + -3x = 0
-3 + 7x = -10 + 0
-3 + 7x = -10

Add '3' to each side of the equation.
-3 + 3 + 7x = -10 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = -10 + 3
7x = -10 + 3

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

Divide each side by '7'.
x = -1

Simplifying
x = -1

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