10x-2=7x+21

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Solution for 10x-2=7x+21 equation:


Simplifying
10x + -2 = 7x + 21

Reorder the terms:
-2 + 10x = 7x + 21

Reorder the terms:
-2 + 10x = 21 + 7x

Solving
-2 + 10x = 21 + 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.
-2 + 10x + -7x = 21 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-2 + 3x = 21 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + 3x = 21 + 0
-2 + 3x = 21

Add '2' to each side of the equation.
-2 + 2 + 3x = 21 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 21 + 2
3x = 21 + 2

Combine like terms: 21 + 2 = 23
3x = 23

Divide each side by '3'.
x = 7.666666667

Simplifying
x = 7.666666667

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