3(x+8)-4=-2(2x+5)

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Solution for 3(x+8)-4=-2(2x+5) equation: 


Simplifying
3(x + 8) + -4 = -2(2x + 5)

Reorder the terms:
3(8 + x) + -4 = -2(2x + 5)
(8 * 3 + x * 3) + -4 = -2(2x + 5)
(24 + 3x) + -4 = -2(2x + 5)

Reorder the terms:
24 + -4 + 3x = -2(2x + 5)

Combine like terms: 24 + -4 = 20
20 + 3x = -2(2x + 5)

Reorder the terms:
20 + 3x = -2(5 + 2x)
20 + 3x = (5 * -2 + 2x * -2)
20 + 3x = (-10 + -4x)

Solving
20 + 3x = -10 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
20 + 3x + 4x = -10 + -4x + 4x

Combine like terms: 3x + 4x = 7x
20 + 7x = -10 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 7x = -10 + 0
20 + 7x = -10

Add '-20' to each side of the equation.
20 + -20 + 7x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + 7x = -10 + -20
7x = -10 + -20

Combine like terms: -10 + -20 = -30
7x = -30

Divide each side by '7'.
x = -4.285714286

Simplifying
x = -4.285714286

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