40+(7x+2)=-(3x+3)+5

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Solution for 40+(7x+2)=-(3x+3)+5 equation: 


Simplifying
40 + (7x + 2) = -1(3x + 3) + 5

Reorder the terms:
40 + (2 + 7x) = -1(3x + 3) + 5

Remove parenthesis around (2 + 7x)
40 + 2 + 7x = -1(3x + 3) + 5

Combine like terms: 40 + 2 = 42
42 + 7x = -1(3x + 3) + 5

Reorder the terms:
42 + 7x = -1(3 + 3x) + 5
42 + 7x = (3 * -1 + 3x * -1) + 5
42 + 7x = (-3 + -3x) + 5

Reorder the terms:
42 + 7x = -3 + 5 + -3x

Combine like terms: -3 + 5 = 2
42 + 7x = 2 + -3x

Solving
42 + 7x = 2 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
42 + 7x + 3x = 2 + -3x + 3x

Combine like terms: 7x + 3x = 10x
42 + 10x = 2 + -3x + 3x

Combine like terms: -3x + 3x = 0
42 + 10x = 2 + 0
42 + 10x = 2

Add '-42' to each side of the equation.
42 + -42 + 10x = 2 + -42

Combine like terms: 42 + -42 = 0
0 + 10x = 2 + -42
10x = 2 + -42

Combine like terms: 2 + -42 = -40
10x = -40

Divide each side by '10'.
x = -4

Simplifying
x = -4

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