4(X+4)=6(X+7)

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Solution for 4(X+4)=6(X+7) equation:


Simplifying
4(X + 4) = 6(X + 7)

Reorder the terms:
4(4 + X) = 6(X + 7)
(4 * 4 + X * 4) = 6(X + 7)
(16 + 4X) = 6(X + 7)

Reorder the terms:
16 + 4X = 6(7 + X)
16 + 4X = (7 * 6 + X * 6)
16 + 4X = (42 + 6X)

Solving
16 + 4X = 42 + 6X

Solving for variable 'X'.

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

Add '-6X' to each side of the equation.
16 + 4X + -6X = 42 + 6X + -6X

Combine like terms: 4X + -6X = -2X
16 + -2X = 42 + 6X + -6X

Combine like terms: 6X + -6X = 0
16 + -2X = 42 + 0
16 + -2X = 42

Add '-16' to each side of the equation.
16 + -16 + -2X = 42 + -16

Combine like terms: 16 + -16 = 0
0 + -2X = 42 + -16
-2X = 42 + -16

Combine like terms: 42 + -16 = 26
-2X = 26

Divide each side by '-2'.
X = -13

Simplifying
X = -13

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