2(x+1)-3(2x-5)=-6x-3

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Solution for 2(x+1)-3(2x-5)=-6x-3 equation:


Simplifying
2(x + 1) + -3(2x + -5) = -6x + -3

Reorder the terms:
2(1 + x) + -3(2x + -5) = -6x + -3
(1 * 2 + x * 2) + -3(2x + -5) = -6x + -3
(2 + 2x) + -3(2x + -5) = -6x + -3

Reorder the terms:
2 + 2x + -3(-5 + 2x) = -6x + -3
2 + 2x + (-5 * -3 + 2x * -3) = -6x + -3
2 + 2x + (15 + -6x) = -6x + -3

Reorder the terms:
2 + 15 + 2x + -6x = -6x + -3

Combine like terms: 2 + 15 = 17
17 + 2x + -6x = -6x + -3

Combine like terms: 2x + -6x = -4x
17 + -4x = -6x + -3

Reorder the terms:
17 + -4x = -3 + -6x

Solving
17 + -4x = -3 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
17 + -4x + 6x = -3 + -6x + 6x

Combine like terms: -4x + 6x = 2x
17 + 2x = -3 + -6x + 6x

Combine like terms: -6x + 6x = 0
17 + 2x = -3 + 0
17 + 2x = -3

Add '-17' to each side of the equation.
17 + -17 + 2x = -3 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -3 + -17
2x = -3 + -17

Combine like terms: -3 + -17 = -20
2x = -20

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

Simplifying
x = -10

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