8(x-1)+3(x+8)=2(x+5)

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Solution for 8(x-1)+3(x+8)=2(x+5) equation:


Simplifying
8(x + -1) + 3(x + 8) = 2(x + 5)

Reorder the terms:
8(-1 + x) + 3(x + 8) = 2(x + 5)
(-1 * 8 + x * 8) + 3(x + 8) = 2(x + 5)
(-8 + 8x) + 3(x + 8) = 2(x + 5)

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

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

Combine like terms: -8 + 24 = 16
16 + 8x + 3x = 2(x + 5)

Combine like terms: 8x + 3x = 11x
16 + 11x = 2(x + 5)

Reorder the terms:
16 + 11x = 2(5 + x)
16 + 11x = (5 * 2 + x * 2)
16 + 11x = (10 + 2x)

Solving
16 + 11x = 10 + 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.
16 + 11x + -2x = 10 + 2x + -2x

Combine like terms: 11x + -2x = 9x
16 + 9x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
16 + 9x = 10 + 0
16 + 9x = 10

Add '-16' to each side of the equation.
16 + -16 + 9x = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 9x = 10 + -16
9x = 10 + -16

Combine like terms: 10 + -16 = -6
9x = -6

Divide each side by '9'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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