4x+10=-78-7x

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Solution for 4x+10=-78-7x equation:


Simplifying
4x + 10 = -78 + -7x

Reorder the terms:
10 + 4x = -78 + -7x

Solving
10 + 4x = -78 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
10 + 4x + 7x = -78 + -7x + 7x

Combine like terms: 4x + 7x = 11x
10 + 11x = -78 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 11x = -78 + 0
10 + 11x = -78

Add '-10' to each side of the equation.
10 + -10 + 11x = -78 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = -78 + -10
11x = -78 + -10

Combine like terms: -78 + -10 = -88
11x = -88

Divide each side by '11'.
x = -8

Simplifying
x = -8

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