7x-(2x+8)=8x-17

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Solution for 7x-(2x+8)=8x-17 equation:


Simplifying
7x + -1(2x + 8) = 8x + -17

Reorder the terms:
7x + -1(8 + 2x) = 8x + -17
7x + (8 * -1 + 2x * -1) = 8x + -17
7x + (-8 + -2x) = 8x + -17

Reorder the terms:
-8 + 7x + -2x = 8x + -17

Combine like terms: 7x + -2x = 5x
-8 + 5x = 8x + -17

Reorder the terms:
-8 + 5x = -17 + 8x

Solving
-8 + 5x = -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.
-8 + 5x + -8x = -17 + 8x + -8x

Combine like terms: 5x + -8x = -3x
-8 + -3x = -17 + 8x + -8x

Combine like terms: 8x + -8x = 0
-8 + -3x = -17 + 0
-8 + -3x = -17

Add '8' to each side of the equation.
-8 + 8 + -3x = -17 + 8

Combine like terms: -8 + 8 = 0
0 + -3x = -17 + 8
-3x = -17 + 8

Combine like terms: -17 + 8 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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