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

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


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

Reorder the terms:
7(-2 + x) + x = 2x + 4
(-2 * 7 + x * 7) + x = 2x + 4
(-14 + 7x) + x = 2x + 4

Combine like terms: 7x + x = 8x
-14 + 8x = 2x + 4

Reorder the terms:
-14 + 8x = 4 + 2x

Solving
-14 + 8x = 4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-14 + 8x + -2x = 4 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-14 + 6x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-14 + 6x = 4 + 0
-14 + 6x = 4

Add '14' to each side of the equation.
-14 + 14 + 6x = 4 + 14

Combine like terms: -14 + 14 = 0
0 + 6x = 4 + 14
6x = 4 + 14

Combine like terms: 4 + 14 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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