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

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


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

Reorder the terms:
2(-7 + x) + 3(x + 1) = -1
(-7 * 2 + x * 2) + 3(x + 1) = -1
(-14 + 2x) + 3(x + 1) = -1

Reorder the terms:
-14 + 2x + 3(1 + x) = -1
-14 + 2x + (1 * 3 + x * 3) = -1
-14 + 2x + (3 + 3x) = -1

Reorder the terms:
-14 + 3 + 2x + 3x = -1

Combine like terms: -14 + 3 = -11
-11 + 2x + 3x = -1

Combine like terms: 2x + 3x = 5x
-11 + 5x = -1

Solving
-11 + 5x = -1

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 5x = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 5x = -1 + 11
5x = -1 + 11

Combine like terms: -1 + 11 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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