5(x+6)=x-4

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Solution for 5(x+6)=x-4 equation:


Simplifying
5(x + 6) = x + -4

Reorder the terms:
5(6 + x) = x + -4
(6 * 5 + x * 5) = x + -4
(30 + 5x) = x + -4

Reorder the terms:
30 + 5x = -4 + x

Solving
30 + 5x = -4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
30 + 5x + -1x = -4 + x + -1x

Combine like terms: 5x + -1x = 4x
30 + 4x = -4 + x + -1x

Combine like terms: x + -1x = 0
30 + 4x = -4 + 0
30 + 4x = -4

Add '-30' to each side of the equation.
30 + -30 + 4x = -4 + -30

Combine like terms: 30 + -30 = 0
0 + 4x = -4 + -30
4x = -4 + -30

Combine like terms: -4 + -30 = -34
4x = -34

Divide each side by '4'.
x = -8.5

Simplifying
x = -8.5

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