-5(7x+8)=24-3x

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Solution for -5(7x+8)=24-3x equation:


Simplifying
-5(7x + 8) = 24 + -3x

Reorder the terms:
-5(8 + 7x) = 24 + -3x
(8 * -5 + 7x * -5) = 24 + -3x
(-40 + -35x) = 24 + -3x

Solving
-40 + -35x = 24 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-40 + -35x + 3x = 24 + -3x + 3x

Combine like terms: -35x + 3x = -32x
-40 + -32x = 24 + -3x + 3x

Combine like terms: -3x + 3x = 0
-40 + -32x = 24 + 0
-40 + -32x = 24

Add '40' to each side of the equation.
-40 + 40 + -32x = 24 + 40

Combine like terms: -40 + 40 = 0
0 + -32x = 24 + 40
-32x = 24 + 40

Combine like terms: 24 + 40 = 64
-32x = 64

Divide each side by '-32'.
x = -2

Simplifying
x = -2

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