7x+2(x-2)=6(x+1)-2

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Solution for 7x+2(x-2)=6(x+1)-2 equation:


Simplifying
7x + 2(x + -2) = 6(x + 1) + -2

Reorder the terms:
7x + 2(-2 + x) = 6(x + 1) + -2
7x + (-2 * 2 + x * 2) = 6(x + 1) + -2
7x + (-4 + 2x) = 6(x + 1) + -2

Reorder the terms:
-4 + 7x + 2x = 6(x + 1) + -2

Combine like terms: 7x + 2x = 9x
-4 + 9x = 6(x + 1) + -2

Reorder the terms:
-4 + 9x = 6(1 + x) + -2
-4 + 9x = (1 * 6 + x * 6) + -2
-4 + 9x = (6 + 6x) + -2

Reorder the terms:
-4 + 9x = 6 + -2 + 6x

Combine like terms: 6 + -2 = 4
-4 + 9x = 4 + 6x

Solving
-4 + 9x = 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.
-4 + 9x + -6x = 4 + 6x + -6x

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

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

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

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

Combine like terms: 4 + 4 = 8
3x = 8

Divide each side by '3'.
x = 2.666666667

Simplifying
x = 2.666666667

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