10x-1=7x+8

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Solution for 10x-1=7x+8 equation:


Simplifying
10x + -1 = 7x + 8

Reorder the terms:
-1 + 10x = 7x + 8

Reorder the terms:
-1 + 10x = 8 + 7x

Solving
-1 + 10x = 8 + 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.
-1 + 10x + -7x = 8 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-1 + 3x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + 3x = 8 + 0
-1 + 3x = 8

Add '1' to each side of the equation.
-1 + 1 + 3x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = 8 + 1
3x = 8 + 1

Combine like terms: 8 + 1 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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