4x+(x+7)=-17-3x

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Solution for 4x+(x+7)=-17-3x equation:


Simplifying
4x + (x + 7) = -17 + -3x

Reorder the terms:
4x + (7 + x) = -17 + -3x

Remove parenthesis around (7 + x)
4x + 7 + x = -17 + -3x

Reorder the terms:
7 + 4x + x = -17 + -3x

Combine like terms: 4x + x = 5x
7 + 5x = -17 + -3x

Solving
7 + 5x = -17 + -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.
7 + 5x + 3x = -17 + -3x + 3x

Combine like terms: 5x + 3x = 8x
7 + 8x = -17 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 8x = -17 + 0
7 + 8x = -17

Add '-7' to each side of the equation.
7 + -7 + 8x = -17 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = -17 + -7
8x = -17 + -7

Combine like terms: -17 + -7 = -24
8x = -24

Divide each side by '8'.
x = -3

Simplifying
x = -3

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