5x+7(x+4)=4(6x+2)

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Solution for 5x+7(x+4)=4(6x+2) equation:


Simplifying
5x + 7(x + 4) = 4(6x + 2)

Reorder the terms:
5x + 7(4 + x) = 4(6x + 2)
5x + (4 * 7 + x * 7) = 4(6x + 2)
5x + (28 + 7x) = 4(6x + 2)

Reorder the terms:
28 + 5x + 7x = 4(6x + 2)

Combine like terms: 5x + 7x = 12x
28 + 12x = 4(6x + 2)

Reorder the terms:
28 + 12x = 4(2 + 6x)
28 + 12x = (2 * 4 + 6x * 4)
28 + 12x = (8 + 24x)

Solving
28 + 12x = 8 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
28 + 12x + -24x = 8 + 24x + -24x

Combine like terms: 12x + -24x = -12x
28 + -12x = 8 + 24x + -24x

Combine like terms: 24x + -24x = 0
28 + -12x = 8 + 0
28 + -12x = 8

Add '-28' to each side of the equation.
28 + -28 + -12x = 8 + -28

Combine like terms: 28 + -28 = 0
0 + -12x = 8 + -28
-12x = 8 + -28

Combine like terms: 8 + -28 = -20
-12x = -20

Divide each side by '-12'.
x = 1.666666667

Simplifying
x = 1.666666667

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