4(2x-5)-(3-x)=-17

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Solution for 4(2x-5)-(3-x)=-17 equation:


Simplifying
4(2x + -5) + -1(3 + -1x) = -17

Reorder the terms:
4(-5 + 2x) + -1(3 + -1x) = -17
(-5 * 4 + 2x * 4) + -1(3 + -1x) = -17
(-20 + 8x) + -1(3 + -1x) = -17
-20 + 8x + (3 * -1 + -1x * -1) = -17
-20 + 8x + (-3 + 1x) = -17

Reorder the terms:
-20 + -3 + 8x + 1x = -17

Combine like terms: -20 + -3 = -23
-23 + 8x + 1x = -17

Combine like terms: 8x + 1x = 9x
-23 + 9x = -17

Solving
-23 + 9x = -17

Solving for variable 'x'.

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

Add '23' to each side of the equation.
-23 + 23 + 9x = -17 + 23

Combine like terms: -23 + 23 = 0
0 + 9x = -17 + 23
9x = -17 + 23

Combine like terms: -17 + 23 = 6
9x = 6

Divide each side by '9'.
x = 0.6666666667

Simplifying
x = 0.6666666667

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