10(x+3)-8(3x-5)+5(2x-8)=0

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Solution for 10(x+3)-8(3x-5)+5(2x-8)=0 equation:


Simplifying
10(x + 3) + -8(3x + -5) + 5(2x + -8) = 0

Reorder the terms:
10(3 + x) + -8(3x + -5) + 5(2x + -8) = 0
(3 * 10 + x * 10) + -8(3x + -5) + 5(2x + -8) = 0
(30 + 10x) + -8(3x + -5) + 5(2x + -8) = 0

Reorder the terms:
30 + 10x + -8(-5 + 3x) + 5(2x + -8) = 0
30 + 10x + (-5 * -8 + 3x * -8) + 5(2x + -8) = 0
30 + 10x + (40 + -24x) + 5(2x + -8) = 0

Reorder the terms:
30 + 10x + 40 + -24x + 5(-8 + 2x) = 0
30 + 10x + 40 + -24x + (-8 * 5 + 2x * 5) = 0
30 + 10x + 40 + -24x + (-40 + 10x) = 0

Reorder the terms:
30 + 40 + -40 + 10x + -24x + 10x = 0

Combine like terms: 30 + 40 = 70
70 + -40 + 10x + -24x + 10x = 0

Combine like terms: 70 + -40 = 30
30 + 10x + -24x + 10x = 0

Combine like terms: 10x + -24x = -14x
30 + -14x + 10x = 0

Combine like terms: -14x + 10x = -4x
30 + -4x = 0

Solving
30 + -4x = 0

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + -4x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -4x = 0 + -30
-4x = 0 + -30

Combine like terms: 0 + -30 = -30
-4x = -30

Divide each side by '-4'.
x = 7.5

Simplifying
x = 7.5

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