17x-9(1x+4)=3x-26

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Solution for 17x-9(1x+4)=3x-26 equation:


Simplifying
17x + -9(1x + 4) = 3x + -26

Reorder the terms:
17x + -9(4 + 1x) = 3x + -26
17x + (4 * -9 + 1x * -9) = 3x + -26
17x + (-36 + -9x) = 3x + -26

Reorder the terms:
-36 + 17x + -9x = 3x + -26

Combine like terms: 17x + -9x = 8x
-36 + 8x = 3x + -26

Reorder the terms:
-36 + 8x = -26 + 3x

Solving
-36 + 8x = -26 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 8x + -3x = -26 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-36 + 5x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + 5x = -26 + 0
-36 + 5x = -26

Add '36' to each side of the equation.
-36 + 36 + 5x = -26 + 36

Combine like terms: -36 + 36 = 0
0 + 5x = -26 + 36
5x = -26 + 36

Combine like terms: -26 + 36 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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