2(x+1)-3(2x+1)=7

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Solution for 2(x+1)-3(2x+1)=7 equation: 


Simplifying
2(x + 1) + -3(2x + 1) = 7

Reorder the terms:
2(1 + x) + -3(2x + 1) = 7
(1 * 2 + x * 2) + -3(2x + 1) = 7
(2 + 2x) + -3(2x + 1) = 7

Reorder the terms:
2 + 2x + -3(1 + 2x) = 7
2 + 2x + (1 * -3 + 2x * -3) = 7
2 + 2x + (-3 + -6x) = 7

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

Combine like terms: 2 + -3 = -1
-1 + 2x + -6x = 7

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

Solving
-1 + -4x = 7

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -4x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 7 + 1
-4x = 7 + 1

Combine like terms: 7 + 1 = 8
-4x = 8

Divide each side by '-4'.
x = -2

Simplifying
x = -2

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