3(8x+24)+1=4(8x-2)+10

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Solution for 3(8x+24)+1=4(8x-2)+10 equation: 


Simplifying
3(8x + 24) + 1 = 4(8x + -2) + 10

Reorder the terms:
3(24 + 8x) + 1 = 4(8x + -2) + 10
(24 * 3 + 8x * 3) + 1 = 4(8x + -2) + 10
(72 + 24x) + 1 = 4(8x + -2) + 10

Reorder the terms:
72 + 1 + 24x = 4(8x + -2) + 10

Combine like terms: 72 + 1 = 73
73 + 24x = 4(8x + -2) + 10

Reorder the terms:
73 + 24x = 4(-2 + 8x) + 10
73 + 24x = (-2 * 4 + 8x * 4) + 10
73 + 24x = (-8 + 32x) + 10

Reorder the terms:
73 + 24x = -8 + 10 + 32x

Combine like terms: -8 + 10 = 2
73 + 24x = 2 + 32x

Solving
73 + 24x = 2 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
73 + 24x + -32x = 2 + 32x + -32x

Combine like terms: 24x + -32x = -8x
73 + -8x = 2 + 32x + -32x

Combine like terms: 32x + -32x = 0
73 + -8x = 2 + 0
73 + -8x = 2

Add '-73' to each side of the equation.
73 + -73 + -8x = 2 + -73

Combine like terms: 73 + -73 = 0
0 + -8x = 2 + -73
-8x = 2 + -73

Combine like terms: 2 + -73 = -71
-8x = -71

Divide each side by '-8'.
x = 8.875

Simplifying
x = 8.875

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