6(2x+13)=4(2x+1)

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Solution for 6(2x+13)=4(2x+1) equation:


Simplifying
6(2x + 13) = 4(2x + 1)

Reorder the terms:
6(13 + 2x) = 4(2x + 1)
(13 * 6 + 2x * 6) = 4(2x + 1)
(78 + 12x) = 4(2x + 1)

Reorder the terms:
78 + 12x = 4(1 + 2x)
78 + 12x = (1 * 4 + 2x * 4)
78 + 12x = (4 + 8x)

Solving
78 + 12x = 4 + 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.
78 + 12x + -8x = 4 + 8x + -8x

Combine like terms: 12x + -8x = 4x
78 + 4x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
78 + 4x = 4 + 0
78 + 4x = 4

Add '-78' to each side of the equation.
78 + -78 + 4x = 4 + -78

Combine like terms: 78 + -78 = 0
0 + 4x = 4 + -78
4x = 4 + -78

Combine like terms: 4 + -78 = -74
4x = -74

Divide each side by '4'.
x = -18.5

Simplifying
x = -18.5

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