10x-4=13x+2

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Solution for 10x-4=13x+2 equation:


Simplifying
10x + -4 = 13x + 2

Reorder the terms:
-4 + 10x = 13x + 2

Reorder the terms:
-4 + 10x = 2 + 13x

Solving
-4 + 10x = 2 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-4 + 10x + -13x = 2 + 13x + -13x

Combine like terms: 10x + -13x = -3x
-4 + -3x = 2 + 13x + -13x

Combine like terms: 13x + -13x = 0
-4 + -3x = 2 + 0
-4 + -3x = 2

Add '4' to each side of the equation.
-4 + 4 + -3x = 2 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 2 + 4
-3x = 2 + 4

Combine like terms: 2 + 4 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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