10x-7=3x-5

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Solution for 10x-7=3x-5 equation:


Simplifying
10x + -7 = 3x + -5

Reorder the terms:
-7 + 10x = 3x + -5

Reorder the terms:
-7 + 10x = -5 + 3x

Solving
-7 + 10x = -5 + 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.
-7 + 10x + -3x = -5 + 3x + -3x

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

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

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

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

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

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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