4(2x-5)+17=2x-11

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Solution for 4(2x-5)+17=2x-11 equation:


Simplifying
4(2x + -5) + 17 = 2x + -11

Reorder the terms:
4(-5 + 2x) + 17 = 2x + -11
(-5 * 4 + 2x * 4) + 17 = 2x + -11
(-20 + 8x) + 17 = 2x + -11

Reorder the terms:
-20 + 17 + 8x = 2x + -11

Combine like terms: -20 + 17 = -3
-3 + 8x = 2x + -11

Reorder the terms:
-3 + 8x = -11 + 2x

Solving
-3 + 8x = -11 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 8x + -2x = -11 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-3 + 6x = -11 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 6x = -11 + 0
-3 + 6x = -11

Add '3' to each side of the equation.
-3 + 3 + 6x = -11 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -11 + 3
6x = -11 + 3

Combine like terms: -11 + 3 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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