x-4(2x-8)=11

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Solution for x-4(2x-8)=11 equation:


Simplifying
x + -4(2x + -8) = 11

Reorder the terms:
x + -4(-8 + 2x) = 11
x + (-8 * -4 + 2x * -4) = 11
x + (32 + -8x) = 11

Reorder the terms:
32 + x + -8x = 11

Combine like terms: x + -8x = -7x
32 + -7x = 11

Solving
32 + -7x = 11

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -7x = 11 + -32

Combine like terms: 32 + -32 = 0
0 + -7x = 11 + -32
-7x = 11 + -32

Combine like terms: 11 + -32 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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