11-5(3-x)=4(x-4)

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Solution for 11-5(3-x)=4(x-4) equation:


Simplifying
11 + -5(3 + -1x) = 4(x + -4)
11 + (3 * -5 + -1x * -5) = 4(x + -4)
11 + (-15 + 5x) = 4(x + -4)

Combine like terms: 11 + -15 = -4
-4 + 5x = 4(x + -4)

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

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

Combine like terms: 5x + -4x = 1x
-4 + 1x = -16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 1x = -16 + 0
-4 + 1x = -16

Add '4' to each side of the equation.
-4 + 4 + 1x = -16 + 4

Combine like terms: -4 + 4 = 0
0 + 1x = -16 + 4
1x = -16 + 4

Combine like terms: -16 + 4 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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