3(x-8)=-7x-4

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Solution for 3(x-8)=-7x-4 equation:


Simplifying
3(x + -8) = -7x + -4

Reorder the terms:
3(-8 + x) = -7x + -4
(-8 * 3 + x * 3) = -7x + -4
(-24 + 3x) = -7x + -4

Reorder the terms:
-24 + 3x = -4 + -7x

Solving
-24 + 3x = -4 + -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.
-24 + 3x + 7x = -4 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-24 + 10x = -4 + -7x + 7x

Combine like terms: -7x + 7x = 0
-24 + 10x = -4 + 0
-24 + 10x = -4

Add '24' to each side of the equation.
-24 + 24 + 10x = -4 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = -4 + 24
10x = -4 + 24

Combine like terms: -4 + 24 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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