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 = 5
5 + 2x + 6x = -7

Combine like terms: 2x + 6x = 8x
5 + 8x = -7

Solving
5 + 8x = -7

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 8x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + 8x = -7 + -5
8x = -7 + -5

Combine like terms: -7 + -5 = -12
8x = -12

Divide each side by '8'.
x = -1.5

Simplifying
x = -1.5

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