10x-7=2x+9

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Solution for 10x-7=2x+9 equation:


Simplifying
10x + -7 = 2x + 9

Reorder the terms:
-7 + 10x = 2x + 9

Reorder the terms:
-7 + 10x = 9 + 2x

Solving
-7 + 10x = 9 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-7 + 10x + -2x = 9 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-7 + 8x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 8x = 9 + 0
-7 + 8x = 9

Add '7' to each side of the equation.
-7 + 7 + 8x = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 8x = 9 + 7
8x = 9 + 7

Combine like terms: 9 + 7 = 16
8x = 16

Divide each side by '8'.
x = 2

Simplifying
x = 2

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