-2(2x+1)-3(x-5)=-8

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Solution for -2(2x+1)-3(x-5)=-8 equation: 


Simplifying
-2(2x + 1) + -3(x + -5) = -8

Reorder the terms:
-2(1 + 2x) + -3(x + -5) = -8
(1 * -2 + 2x * -2) + -3(x + -5) = -8
(-2 + -4x) + -3(x + -5) = -8

Reorder the terms:
-2 + -4x + -3(-5 + x) = -8
-2 + -4x + (-5 * -3 + x * -3) = -8
-2 + -4x + (15 + -3x) = -8

Reorder the terms:
-2 + 15 + -4x + -3x = -8

Combine like terms: -2 + 15 = 13
13 + -4x + -3x = -8

Combine like terms: -4x + -3x = -7x
13 + -7x = -8

Solving
13 + -7x = -8

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 + -7x = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -7x = -8 + -13
-7x = -8 + -13

Combine like terms: -8 + -13 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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