10x-5=7x+3

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


Simplifying
10x + -5 = 7x + 3

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

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

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

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

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

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

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

Combine like terms: 3 + 5 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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