4(x+4)-(x+5)=32

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Solution for 4(x+4)-(x+5)=32 equation: 


Simplifying
4(x + 4) + -1(x + 5) = 32

Reorder the terms:
4(4 + x) + -1(x + 5) = 32
(4 * 4 + x * 4) + -1(x + 5) = 32
(16 + 4x) + -1(x + 5) = 32

Reorder the terms:
16 + 4x + -1(5 + x) = 32
16 + 4x + (5 * -1 + x * -1) = 32
16 + 4x + (-5 + -1x) = 32

Reorder the terms:
16 + -5 + 4x + -1x = 32

Combine like terms: 16 + -5 = 11
11 + 4x + -1x = 32

Combine like terms: 4x + -1x = 3x
11 + 3x = 32

Solving
11 + 3x = 32

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 3x = 32 + -11

Combine like terms: 11 + -11 = 0
0 + 3x = 32 + -11
3x = 32 + -11

Combine like terms: 32 + -11 = 21
3x = 21

Divide each side by '3'.
x = 7

Simplifying
x = 7

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