24+3(x-6)=8x-74

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Solution for 24+3(x-6)=8x-74 equation:


Simplifying
24 + 3(x + -6) = 8x + -74

Reorder the terms:
24 + 3(-6 + x) = 8x + -74
24 + (-6 * 3 + x * 3) = 8x + -74
24 + (-18 + 3x) = 8x + -74

Combine like terms: 24 + -18 = 6
6 + 3x = 8x + -74

Reorder the terms:
6 + 3x = -74 + 8x

Solving
6 + 3x = -74 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 3x + -8x = -74 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = -74 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = -74 + 0
6 + -5x = -74

Add '-6' to each side of the equation.
6 + -6 + -5x = -74 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -74 + -6
-5x = -74 + -6

Combine like terms: -74 + -6 = -80
-5x = -80

Divide each side by '-5'.
x = 16

Simplifying
x = 16

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