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

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


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

Reorder the terms:
3(5 + 2x) = 4 + -2(x + 8)
(5 * 3 + 2x * 3) = 4 + -2(x + 8)
(15 + 6x) = 4 + -2(x + 8)

Reorder the terms:
15 + 6x = 4 + -2(8 + x)
15 + 6x = 4 + (8 * -2 + x * -2)
15 + 6x = 4 + (-16 + -2x)

Combine like terms: 4 + -16 = -12
15 + 6x = -12 + -2x

Solving
15 + 6x = -12 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
15 + 6x + 2x = -12 + -2x + 2x

Combine like terms: 6x + 2x = 8x
15 + 8x = -12 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + 8x = -12 + 0
15 + 8x = -12

Add '-15' to each side of the equation.
15 + -15 + 8x = -12 + -15

Combine like terms: 15 + -15 = 0
0 + 8x = -12 + -15
8x = -12 + -15

Combine like terms: -12 + -15 = -27
8x = -27

Divide each side by '8'.
x = -3.375

Simplifying
x = -3.375

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