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

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


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

Reorder the terms:
11 + -5x = 4(x + -4)

Reorder the terms:
11 + -5x = 4(-4 + x)
11 + -5x = (-4 * 4 + x * 4)
11 + -5x = (-16 + 4x)

Solving
11 + -5x = -16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
11 + -5x + -4x = -16 + 4x + -4x

Combine like terms: -5x + -4x = -9x
11 + -9x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -9x = -16 + 0
11 + -9x = -16

Add '-11' to each side of the equation.
11 + -11 + -9x = -16 + -11

Combine like terms: 11 + -11 = 0
0 + -9x = -16 + -11
-9x = -16 + -11

Combine like terms: -16 + -11 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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