10x-7=8x+5

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Solution for 10x-7=8x+5 equation:


Simplifying
10x + -7 = 8x + 5

Reorder the terms:
-7 + 10x = 8x + 5

Reorder the terms:
-7 + 10x = 5 + 8x

Solving
-7 + 10x = 5 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 10x + -8x = 5 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-7 + 2x = 5 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + 2x = 5 + 0
-7 + 2x = 5

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

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

Combine like terms: 5 + 7 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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