10x-5=13x-7

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Solution for 10x-5=13x-7 equation:


Simplifying
10x + -5 = 13x + -7

Reorder the terms:
-5 + 10x = 13x + -7

Reorder the terms:
-5 + 10x = -7 + 13x

Solving
-5 + 10x = -7 + 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.
-5 + 10x + -13x = -7 + 13x + -13x

Combine like terms: 10x + -13x = -3x
-5 + -3x = -7 + 13x + -13x

Combine like terms: 13x + -13x = 0
-5 + -3x = -7 + 0
-5 + -3x = -7

Add '5' to each side of the equation.
-5 + 5 + -3x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -3x = -7 + 5
-3x = -7 + 5

Combine like terms: -7 + 5 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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