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

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


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

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

Reorder the terms:
2 + 2x = 7(-2 + x) + -6
2 + 2x = (-2 * 7 + x * 7) + -6
2 + 2x = (-14 + 7x) + -6

Reorder the terms:
2 + 2x = -14 + -6 + 7x

Combine like terms: -14 + -6 = -20
2 + 2x = -20 + 7x

Solving
2 + 2x = -20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 2x + -7x = -20 + 7x + -7x

Combine like terms: 2x + -7x = -5x
2 + -5x = -20 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + -5x = -20 + 0
2 + -5x = -20

Add '-2' to each side of the equation.
2 + -2 + -5x = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = -20 + -2
-5x = -20 + -2

Combine like terms: -20 + -2 = -22
-5x = -22

Divide each side by '-5'.
x = 4.4

Simplifying
x = 4.4

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