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

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


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

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

Remove parenthesis around (2 + x)
2 + x = -3(4x + -5)

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

Solving
2 + x = 15 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
2 + x + 12x = 15 + -12x + 12x

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

Combine like terms: -12x + 12x = 0
2 + 13x = 15 + 0
2 + 13x = 15

Add '-2' to each side of the equation.
2 + -2 + 13x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 13x = 15 + -2
13x = 15 + -2

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

Divide each side by '13'.
x = 1

Simplifying
x = 1

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