17x-9(x+40)=3x-26

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Solution for 17x-9(x+40)=3x-26 equation:


Simplifying
17x + -9(x + 40) = 3x + -26

Reorder the terms:
17x + -9(40 + x) = 3x + -26
17x + (40 * -9 + x * -9) = 3x + -26
17x + (-360 + -9x) = 3x + -26

Reorder the terms:
-360 + 17x + -9x = 3x + -26

Combine like terms: 17x + -9x = 8x
-360 + 8x = 3x + -26

Reorder the terms:
-360 + 8x = -26 + 3x

Solving
-360 + 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.
-360 + 8x + -3x = -26 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-360 + 5x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
-360 + 5x = -26 + 0
-360 + 5x = -26

Add '360' to each side of the equation.
-360 + 360 + 5x = -26 + 360

Combine like terms: -360 + 360 = 0
0 + 5x = -26 + 360
5x = -26 + 360

Combine like terms: -26 + 360 = 334
5x = 334

Divide each side by '5'.
x = 66.8

Simplifying
x = 66.8

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