10x+7=8x+17

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Solution for 10x+7=8x+17 equation:


Simplifying
10x + 7 = 8x + 17

Reorder the terms:
7 + 10x = 8x + 17

Reorder the terms:
7 + 10x = 17 + 8x

Solving
7 + 10x = 17 + 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 = 17 + 8x + -8x

Combine like terms: 10x + -8x = 2x
7 + 2x = 17 + 8x + -8x

Combine like terms: 8x + -8x = 0
7 + 2x = 17 + 0
7 + 2x = 17

Add '-7' to each side of the equation.
7 + -7 + 2x = 17 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 17 + -7
2x = 17 + -7

Combine like terms: 17 + -7 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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