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

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


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

Reorder the terms:
5x + 4(8 + 3x) = x + -8
5x + (8 * 4 + 3x * 4) = x + -8
5x + (32 + 12x) = x + -8

Reorder the terms:
32 + 5x + 12x = x + -8

Combine like terms: 5x + 12x = 17x
32 + 17x = x + -8

Reorder the terms:
32 + 17x = -8 + x

Solving
32 + 17x = -8 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
32 + 17x + -1x = -8 + x + -1x

Combine like terms: 17x + -1x = 16x
32 + 16x = -8 + x + -1x

Combine like terms: x + -1x = 0
32 + 16x = -8 + 0
32 + 16x = -8

Add '-32' to each side of the equation.
32 + -32 + 16x = -8 + -32

Combine like terms: 32 + -32 = 0
0 + 16x = -8 + -32
16x = -8 + -32

Combine like terms: -8 + -32 = -40
16x = -40

Divide each side by '16'.
x = -2.5

Simplifying
x = -2.5

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