5x+7=-42-3x

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Solution for 5x+7=-42-3x equation: 


Simplifying
5x + 7 = -42 + -3x

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

Solving
7 + 5x = -42 + -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 = -42 + -3x + 3x

Combine like terms: 5x + 3x = 8x
7 + 8x = -42 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 8x = -42 + 0
7 + 8x = -42

Add '-7' to each side of the equation.
7 + -7 + 8x = -42 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = -42 + -7
8x = -42 + -7

Combine like terms: -42 + -7 = -49
8x = -49

Divide each side by '8'.
x = -6.125

Simplifying
x = -6.125

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