40-(4x+5)=4(x+2)+x

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Solution for 40-(4x+5)=4(x+2)+x equation: 


Simplifying
40 + -1(4x + 5) = 4(x + 2) + x

Reorder the terms:
40 + -1(5 + 4x) = 4(x + 2) + x
40 + (5 * -1 + 4x * -1) = 4(x + 2) + x
40 + (-5 + -4x) = 4(x + 2) + x

Combine like terms: 40 + -5 = 35
35 + -4x = 4(x + 2) + x

Reorder the terms:
35 + -4x = 4(2 + x) + x
35 + -4x = (2 * 4 + x * 4) + x
35 + -4x = (8 + 4x) + x

Combine like terms: 4x + x = 5x
35 + -4x = 8 + 5x

Solving
35 + -4x = 8 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
35 + -4x + -5x = 8 + 5x + -5x

Combine like terms: -4x + -5x = -9x
35 + -9x = 8 + 5x + -5x

Combine like terms: 5x + -5x = 0
35 + -9x = 8 + 0
35 + -9x = 8

Add '-35' to each side of the equation.
35 + -35 + -9x = 8 + -35

Combine like terms: 35 + -35 = 0
0 + -9x = 8 + -35
-9x = 8 + -35

Combine like terms: 8 + -35 = -27
-9x = -27

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

Simplifying
x = 3

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