4(x+7)=-24(x+4)

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Solution for 4(x+7)=-24(x+4) equation:


Simplifying
4(x + 7) = -24(x + 4)

Reorder the terms:
4(7 + x) = -24(x + 4)
(7 * 4 + x * 4) = -24(x + 4)
(28 + 4x) = -24(x + 4)

Reorder the terms:
28 + 4x = -24(4 + x)
28 + 4x = (4 * -24 + x * -24)
28 + 4x = (-96 + -24x)

Solving
28 + 4x = -96 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
28 + 4x + 24x = -96 + -24x + 24x

Combine like terms: 4x + 24x = 28x
28 + 28x = -96 + -24x + 24x

Combine like terms: -24x + 24x = 0
28 + 28x = -96 + 0
28 + 28x = -96

Add '-28' to each side of the equation.
28 + -28 + 28x = -96 + -28

Combine like terms: 28 + -28 = 0
0 + 28x = -96 + -28
28x = -96 + -28

Combine like terms: -96 + -28 = -124
28x = -124

Divide each side by '28'.
x = -4.428571429

Simplifying
x = -4.428571429

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