15x+8(4-2x)=16-3(x+8)

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Solution for 15x+8(4-2x)=16-3(x+8) equation:


Simplifying
15x + 8(4 + -2x) = 16 + -3(x + 8)
15x + (4 * 8 + -2x * 8) = 16 + -3(x + 8)
15x + (32 + -16x) = 16 + -3(x + 8)

Reorder the terms:
32 + 15x + -16x = 16 + -3(x + 8)

Combine like terms: 15x + -16x = -1x
32 + -1x = 16 + -3(x + 8)

Reorder the terms:
32 + -1x = 16 + -3(8 + x)
32 + -1x = 16 + (8 * -3 + x * -3)
32 + -1x = 16 + (-24 + -3x)

Combine like terms: 16 + -24 = -8
32 + -1x = -8 + -3x

Solving
32 + -1x = -8 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
32 + -1x + 3x = -8 + -3x + 3x

Combine like terms: -1x + 3x = 2x
32 + 2x = -8 + -3x + 3x

Combine like terms: -3x + 3x = 0
32 + 2x = -8 + 0
32 + 2x = -8

Add '-32' to each side of the equation.
32 + -32 + 2x = -8 + -32

Combine like terms: 32 + -32 = 0
0 + 2x = -8 + -32
2x = -8 + -32

Combine like terms: -8 + -32 = -40
2x = -40

Divide each side by '2'.
x = -20

Simplifying
x = -20

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