(3x+2)42=(6x-1)24

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Solution for (3x+2)42=(6x-1)24 equation:


Simplifying
(3x + 2) * 42 = (6x + -1) * 24

Reorder the terms:
(2 + 3x) * 42 = (6x + -1) * 24

Reorder the terms for easier multiplication:
42(2 + 3x) = (6x + -1) * 24
(2 * 42 + 3x * 42) = (6x + -1) * 24
(84 + 126x) = (6x + -1) * 24

Reorder the terms:
84 + 126x = (-1 + 6x) * 24

Reorder the terms for easier multiplication:
84 + 126x = 24(-1 + 6x)
84 + 126x = (-1 * 24 + 6x * 24)
84 + 126x = (-24 + 144x)

Solving
84 + 126x = -24 + 144x

Solving for variable 'x'.

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

Add '-144x' to each side of the equation.
84 + 126x + -144x = -24 + 144x + -144x

Combine like terms: 126x + -144x = -18x
84 + -18x = -24 + 144x + -144x

Combine like terms: 144x + -144x = 0
84 + -18x = -24 + 0
84 + -18x = -24

Add '-84' to each side of the equation.
84 + -84 + -18x = -24 + -84

Combine like terms: 84 + -84 = 0
0 + -18x = -24 + -84
-18x = -24 + -84

Combine like terms: -24 + -84 = -108
-18x = -108

Divide each side by '-18'.
x = 6

Simplifying
x = 6

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