10x-2=3x+5

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Solution for 10x-2=3x+5 equation:


Simplifying
10x + -2 = 3x + 5

Reorder the terms:
-2 + 10x = 3x + 5

Reorder the terms:
-2 + 10x = 5 + 3x

Solving
-2 + 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.
-2 + 10x + -3x = 5 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-2 + 7x = 5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2 + 7x = 5 + 0
-2 + 7x = 5

Add '2' to each side of the equation.
-2 + 2 + 7x = 5 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 5 + 2
7x = 5 + 2

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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