7(x+4)=2(3x+2)

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Solution for 7(x+4)=2(3x+2) equation:


Simplifying
7(x + 4) = 2(3x + 2)

Reorder the terms:
7(4 + x) = 2(3x + 2)
(4 * 7 + x * 7) = 2(3x + 2)
(28 + 7x) = 2(3x + 2)

Reorder the terms:
28 + 7x = 2(2 + 3x)
28 + 7x = (2 * 2 + 3x * 2)
28 + 7x = (4 + 6x)

Solving
28 + 7x = 4 + 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.
28 + 7x + -6x = 4 + 6x + -6x

Combine like terms: 7x + -6x = 1x
28 + 1x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + 1x = 4 + 0
28 + 1x = 4

Add '-28' to each side of the equation.
28 + -28 + 1x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + 1x = 4 + -28
1x = 4 + -28

Combine like terms: 4 + -28 = -24
1x = -24

Divide each side by '1'.
x = -24

Simplifying
x = -24

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