7(x-8)+24=-3(x-6)

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Solution for 7(x-8)+24=-3(x-6) equation:


Simplifying
7(x + -8) + 24 = -3(x + -6)

Reorder the terms:
7(-8 + x) + 24 = -3(x + -6)
(-8 * 7 + x * 7) + 24 = -3(x + -6)
(-56 + 7x) + 24 = -3(x + -6)

Reorder the terms:
-56 + 24 + 7x = -3(x + -6)

Combine like terms: -56 + 24 = -32
-32 + 7x = -3(x + -6)

Reorder the terms:
-32 + 7x = -3(-6 + x)
-32 + 7x = (-6 * -3 + x * -3)
-32 + 7x = (18 + -3x)

Solving
-32 + 7x = 18 + -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.
-32 + 7x + 3x = 18 + -3x + 3x

Combine like terms: 7x + 3x = 10x
-32 + 10x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-32 + 10x = 18 + 0
-32 + 10x = 18

Add '32' to each side of the equation.
-32 + 32 + 10x = 18 + 32

Combine like terms: -32 + 32 = 0
0 + 10x = 18 + 32
10x = 18 + 32

Combine like terms: 18 + 32 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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