5(2x-6)+3(2x-8)=0

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Solution for 5(2x-6)+3(2x-8)=0 equation:


Simplifying
5(2x + -6) + 3(2x + -8) = 0

Reorder the terms:
5(-6 + 2x) + 3(2x + -8) = 0
(-6 * 5 + 2x * 5) + 3(2x + -8) = 0
(-30 + 10x) + 3(2x + -8) = 0

Reorder the terms:
-30 + 10x + 3(-8 + 2x) = 0
-30 + 10x + (-8 * 3 + 2x * 3) = 0
-30 + 10x + (-24 + 6x) = 0

Reorder the terms:
-30 + -24 + 10x + 6x = 0

Combine like terms: -30 + -24 = -54
-54 + 10x + 6x = 0

Combine like terms: 10x + 6x = 16x
-54 + 16x = 0

Solving
-54 + 16x = 0

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 16x = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 16x = 0 + 54
16x = 0 + 54

Combine like terms: 0 + 54 = 54
16x = 54

Divide each side by '16'.
x = 3.375

Simplifying
x = 3.375

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