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

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


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

Reorder the terms:
2(4 + 3x) = 2(4x + -1)
(4 * 2 + 3x * 2) = 2(4x + -1)
(8 + 6x) = 2(4x + -1)

Reorder the terms:
8 + 6x = 2(-1 + 4x)
8 + 6x = (-1 * 2 + 4x * 2)
8 + 6x = (-2 + 8x)

Solving
8 + 6x = -2 + 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.
8 + 6x + -8x = -2 + 8x + -8x

Combine like terms: 6x + -8x = -2x
8 + -2x = -2 + 8x + -8x

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

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

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

Combine like terms: -2 + -8 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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