2*[15+3(x-1)]=8(x+2)

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Solution for 2*[15+3(x-1)]=8(x+2) equation:


Simplifying
2[15 + 3(x + -1)] = 8(x + 2)

Reorder the terms:
2[15 + 3(-1 + x)] = 8(x + 2)
2[15 + (-1 * 3 + x * 3)] = 8(x + 2)
2[15 + (-3 + 3x)] = 8(x + 2)

Combine like terms: 15 + -3 = 12
2[12 + 3x] = 8(x + 2)
[12 * 2 + 3x * 2] = 8(x + 2)
[24 + 6x] = 8(x + 2)

Reorder the terms:
24 + 6x = 8(2 + x)
24 + 6x = (2 * 8 + x * 8)
24 + 6x = (16 + 8x)

Solving
24 + 6x = 16 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 6x + -8x = 16 + 8x + -8x

Combine like terms: 6x + -8x = -2x
24 + -2x = 16 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + -2x = 16 + 0
24 + -2x = 16

Add '-24' to each side of the equation.
24 + -24 + -2x = 16 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = 16 + -24
-2x = 16 + -24

Combine like terms: 16 + -24 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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