x+5(x+4)=x-15

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Solution for x+5(x+4)=x-15 equation:


Simplifying
x + 5(x + 4) = x + -15

Reorder the terms:
x + 5(4 + x) = x + -15
x + (4 * 5 + x * 5) = x + -15
x + (20 + 5x) = x + -15

Reorder the terms:
20 + x + 5x = x + -15

Combine like terms: x + 5x = 6x
20 + 6x = x + -15

Reorder the terms:
20 + 6x = -15 + x

Solving
20 + 6x = -15 + 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.
20 + 6x + -1x = -15 + x + -1x

Combine like terms: 6x + -1x = 5x
20 + 5x = -15 + x + -1x

Combine like terms: x + -1x = 0
20 + 5x = -15 + 0
20 + 5x = -15

Add '-20' to each side of the equation.
20 + -20 + 5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + 5x = -15 + -20
5x = -15 + -20

Combine like terms: -15 + -20 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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