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

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


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

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

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

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

Combine like terms: 4x + -6x = -2x
28 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + -2x = 4 + 0
28 + -2x = 4

Add '-28' to each side of the equation.
28 + -28 + -2x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 4 + -28
-2x = 4 + -28

Combine like terms: 4 + -28 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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