2(x+1)=-3(4x-3)

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Solution for 2(x+1)=-3(4x-3) equation:


Simplifying
2(x + 1) = -3(4x + -3)

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

Reorder the terms:
2 + 2x = -3(-3 + 4x)
2 + 2x = (-3 * -3 + 4x * -3)
2 + 2x = (9 + -12x)

Solving
2 + 2x = 9 + -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 + 2x + 12x = 9 + -12x + 12x

Combine like terms: 2x + 12x = 14x
2 + 14x = 9 + -12x + 12x

Combine like terms: -12x + 12x = 0
2 + 14x = 9 + 0
2 + 14x = 9

Add '-2' to each side of the equation.
2 + -2 + 14x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + 14x = 9 + -2
14x = 9 + -2

Combine like terms: 9 + -2 = 7
14x = 7

Divide each side by '14'.
x = 0.5

Simplifying
x = 0.5

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