11-(4x-5)=3+(7x-20)

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Solution for 11-(4x-5)=3+(7x-20) equation: 


Simplifying
11 + -1(4x + -5) = 3 + (7x + -20)

Reorder the terms:
11 + -1(-5 + 4x) = 3 + (7x + -20)
11 + (-5 * -1 + 4x * -1) = 3 + (7x + -20)
11 + (5 + -4x) = 3 + (7x + -20)

Combine like terms: 11 + 5 = 16
16 + -4x = 3 + (7x + -20)

Reorder the terms:
16 + -4x = 3 + (-20 + 7x)

Remove parenthesis around (-20 + 7x)
16 + -4x = 3 + -20 + 7x

Combine like terms: 3 + -20 = -17
16 + -4x = -17 + 7x

Solving
16 + -4x = -17 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
16 + -4x + -7x = -17 + 7x + -7x

Combine like terms: -4x + -7x = -11x
16 + -11x = -17 + 7x + -7x

Combine like terms: 7x + -7x = 0
16 + -11x = -17 + 0
16 + -11x = -17

Add '-16' to each side of the equation.
16 + -16 + -11x = -17 + -16

Combine like terms: 16 + -16 = 0
0 + -11x = -17 + -16
-11x = -17 + -16

Combine like terms: -17 + -16 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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