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

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


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

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

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

Combine like terms: 7x + 2x = 9x
-4 + 9x = (3x + 4)

Reorder the terms:
-4 + 9x = (4 + 3x)

Remove parenthesis around (4 + 3x)
-4 + 9x = 4 + 3x

Solving
-4 + 9x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 9x + -3x = 4 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-4 + 6x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 6x = 4 + 0
-4 + 6x = 4

Add '4' to each side of the equation.
-4 + 4 + 6x = 4 + 4

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

Combine like terms: 4 + 4 = 8
6x = 8

Divide each side by '6'.
x = 1.333333333

Simplifying
x = 1.333333333

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