4(3x+5)-5(2x+6)=0

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Solution for 4(3x+5)-5(2x+6)=0 equation:


Simplifying
4(3x + 5) + -5(2x + 6) = 0

Reorder the terms:
4(5 + 3x) + -5(2x + 6) = 0
(5 * 4 + 3x * 4) + -5(2x + 6) = 0
(20 + 12x) + -5(2x + 6) = 0

Reorder the terms:
20 + 12x + -5(6 + 2x) = 0
20 + 12x + (6 * -5 + 2x * -5) = 0
20 + 12x + (-30 + -10x) = 0

Reorder the terms:
20 + -30 + 12x + -10x = 0

Combine like terms: 20 + -30 = -10
-10 + 12x + -10x = 0

Combine like terms: 12x + -10x = 2x
-10 + 2x = 0

Solving
-10 + 2x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 2x = 0 + 10

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

Combine like terms: 0 + 10 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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