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

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


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

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

Reorder the terms:
-2 + -2x + 5(3 + x) = 1
-2 + -2x + (3 * 5 + x * 5) = 1
-2 + -2x + (15 + 5x) = 1

Reorder the terms:
-2 + 15 + -2x + 5x = 1

Combine like terms: -2 + 15 = 13
13 + -2x + 5x = 1

Combine like terms: -2x + 5x = 3x
13 + 3x = 1

Solving
13 + 3x = 1

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 + 3x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 3x = 1 + -13
3x = 1 + -13

Combine like terms: 1 + -13 = -12
3x = -12

Divide each side by '3'.
x = -4

Simplifying
x = -4

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