7x-(8x+2)=4x-17

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Solution for 7x-(8x+2)=4x-17 equation:


Simplifying
7x + -1(8x + 2) = 4x + -17

Reorder the terms:
7x + -1(2 + 8x) = 4x + -17
7x + (2 * -1 + 8x * -1) = 4x + -17
7x + (-2 + -8x) = 4x + -17

Reorder the terms:
-2 + 7x + -8x = 4x + -17

Combine like terms: 7x + -8x = -1x
-2 + -1x = 4x + -17

Reorder the terms:
-2 + -1x = -17 + 4x

Solving
-2 + -1x = -17 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + -1x + -4x = -17 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-2 + -5x = -17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -5x = -17 + 0
-2 + -5x = -17

Add '2' to each side of the equation.
-2 + 2 + -5x = -17 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = -17 + 2
-5x = -17 + 2

Combine like terms: -17 + 2 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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