2(5x+4)=4(3x-1)

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Solution for 2(5x+4)=4(3x-1) equation:


Simplifying
2(5x + 4) = 4(3x + -1)

Reorder the terms:
2(4 + 5x) = 4(3x + -1)
(4 * 2 + 5x * 2) = 4(3x + -1)
(8 + 10x) = 4(3x + -1)

Reorder the terms:
8 + 10x = 4(-1 + 3x)
8 + 10x = (-1 * 4 + 3x * 4)
8 + 10x = (-4 + 12x)

Solving
8 + 10x = -4 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
8 + 10x + -12x = -4 + 12x + -12x

Combine like terms: 10x + -12x = -2x
8 + -2x = -4 + 12x + -12x

Combine like terms: 12x + -12x = 0
8 + -2x = -4 + 0
8 + -2x = -4

Add '-8' to each side of the equation.
8 + -8 + -2x = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -2x = -4 + -8
-2x = -4 + -8

Combine like terms: -4 + -8 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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