7x-6=3(x+2)+x

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Solution for 7x-6=3(x+2)+x equation:


Simplifying
7x + -6 = 3(x + 2) + x

Reorder the terms:
-6 + 7x = 3(x + 2) + x

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

Combine like terms: 3x + x = 4x
-6 + 7x = 6 + 4x

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

Combine like terms: 7x + -4x = 3x
-6 + 3x = 6 + 4x + -4x

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

Add '6' to each side of the equation.
-6 + 6 + 3x = 6 + 6

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

Combine like terms: 6 + 6 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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