3x+7(x-1)=8x+17

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Solution for 3x+7(x-1)=8x+17 equation:


Simplifying
3x + 7(x + -1) = 8x + 17

Reorder the terms:
3x + 7(-1 + x) = 8x + 17
3x + (-1 * 7 + x * 7) = 8x + 17
3x + (-7 + 7x) = 8x + 17

Reorder the terms:
-7 + 3x + 7x = 8x + 17

Combine like terms: 3x + 7x = 10x
-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 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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