7(x+4)=4(x-2)

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


Simplifying
7(x + 4) = 4(x + -2)

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

Reorder the terms:
28 + 7x = 4(-2 + x)
28 + 7x = (-2 * 4 + x * 4)
28 + 7x = (-8 + 4x)

Solving
28 + 7x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
28 + 7x + -4x = -8 + 4x + -4x

Combine like terms: 7x + -4x = 3x
28 + 3x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
28 + 3x = -8 + 0
28 + 3x = -8

Add '-28' to each side of the equation.
28 + -28 + 3x = -8 + -28

Combine like terms: 28 + -28 = 0
0 + 3x = -8 + -28
3x = -8 + -28

Combine like terms: -8 + -28 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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