10x-7=6x+15

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Solution for 10x-7=6x+15 equation:


Simplifying
10x + -7 = 6x + 15

Reorder the terms:
-7 + 10x = 6x + 15

Reorder the terms:
-7 + 10x = 15 + 6x

Solving
-7 + 10x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-7 + 10x + -6x = 15 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-7 + 4x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + 4x = 15 + 0
-7 + 4x = 15

Add '7' to each side of the equation.
-7 + 7 + 4x = 15 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 15 + 7
4x = 15 + 7

Combine like terms: 15 + 7 = 22
4x = 22

Divide each side by '4'.
x = 5.5

Simplifying
x = 5.5

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