3x-2=4x+3(6x+8)

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Solution for 3x-2=4x+3(6x+8) equation:


Simplifying
3x + -2 = 4x + 3(6x + 8)

Reorder the terms:
-2 + 3x = 4x + 3(6x + 8)

Reorder the terms:
-2 + 3x = 4x + 3(8 + 6x)
-2 + 3x = 4x + (8 * 3 + 6x * 3)
-2 + 3x = 4x + (24 + 18x)

Reorder the terms:
-2 + 3x = 24 + 4x + 18x

Combine like terms: 4x + 18x = 22x
-2 + 3x = 24 + 22x

Solving
-2 + 3x = 24 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-2 + 3x + -22x = 24 + 22x + -22x

Combine like terms: 3x + -22x = -19x
-2 + -19x = 24 + 22x + -22x

Combine like terms: 22x + -22x = 0
-2 + -19x = 24 + 0
-2 + -19x = 24

Add '2' to each side of the equation.
-2 + 2 + -19x = 24 + 2

Combine like terms: -2 + 2 = 0
0 + -19x = 24 + 2
-19x = 24 + 2

Combine like terms: 24 + 2 = 26
-19x = 26

Divide each side by '-19'.
x = -1.368421053

Simplifying
x = -1.368421053

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