2(4x+9)=-4(3x-7)

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Solution for 2(4x+9)=-4(3x-7) equation:


Simplifying
2(4x + 9) = -4(3x + -7)

Reorder the terms:
2(9 + 4x) = -4(3x + -7)
(9 * 2 + 4x * 2) = -4(3x + -7)
(18 + 8x) = -4(3x + -7)

Reorder the terms:
18 + 8x = -4(-7 + 3x)
18 + 8x = (-7 * -4 + 3x * -4)
18 + 8x = (28 + -12x)

Solving
18 + 8x = 28 + -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.
18 + 8x + 12x = 28 + -12x + 12x

Combine like terms: 8x + 12x = 20x
18 + 20x = 28 + -12x + 12x

Combine like terms: -12x + 12x = 0
18 + 20x = 28 + 0
18 + 20x = 28

Add '-18' to each side of the equation.
18 + -18 + 20x = 28 + -18

Combine like terms: 18 + -18 = 0
0 + 20x = 28 + -18
20x = 28 + -18

Combine like terms: 28 + -18 = 10
20x = 10

Divide each side by '20'.
x = 0.5

Simplifying
x = 0.5

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