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

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


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

Reorder the terms:
4(2 + 3x) = 8(2x + -1)
(2 * 4 + 3x * 4) = 8(2x + -1)
(8 + 12x) = 8(2x + -1)

Reorder the terms:
8 + 12x = 8(-1 + 2x)
8 + 12x = (-1 * 8 + 2x * 8)
8 + 12x = (-8 + 16x)

Solving
8 + 12x = -8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
8 + 12x + -16x = -8 + 16x + -16x

Combine like terms: 12x + -16x = -4x
8 + -4x = -8 + 16x + -16x

Combine like terms: 16x + -16x = 0
8 + -4x = -8 + 0
8 + -4x = -8

Add '-8' to each side of the equation.
8 + -8 + -4x = -8 + -8

Combine like terms: 8 + -8 = 0
0 + -4x = -8 + -8
-4x = -8 + -8

Combine like terms: -8 + -8 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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