2(x+1)-3(4x+5)=7

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Solution for 2(x+1)-3(4x+5)=7 equation: 


Simplifying
2(x + 1) + -3(4x + 5) = 7

Reorder the terms:
2(1 + x) + -3(4x + 5) = 7
(1 * 2 + x * 2) + -3(4x + 5) = 7
(2 + 2x) + -3(4x + 5) = 7

Reorder the terms:
2 + 2x + -3(5 + 4x) = 7
2 + 2x + (5 * -3 + 4x * -3) = 7
2 + 2x + (-15 + -12x) = 7

Reorder the terms:
2 + -15 + 2x + -12x = 7

Combine like terms: 2 + -15 = -13
-13 + 2x + -12x = 7

Combine like terms: 2x + -12x = -10x
-13 + -10x = 7

Solving
-13 + -10x = 7

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + -10x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + -10x = 7 + 13
-10x = 7 + 13

Combine like terms: 7 + 13 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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