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

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


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

Reorder the terms:
5(6 + 4x) = 3(5x + -2) + -6
(6 * 5 + 4x * 5) = 3(5x + -2) + -6
(30 + 20x) = 3(5x + -2) + -6

Reorder the terms:
30 + 20x = 3(-2 + 5x) + -6
30 + 20x = (-2 * 3 + 5x * 3) + -6
30 + 20x = (-6 + 15x) + -6

Reorder the terms:
30 + 20x = -6 + -6 + 15x

Combine like terms: -6 + -6 = -12
30 + 20x = -12 + 15x

Solving
30 + 20x = -12 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
30 + 20x + -15x = -12 + 15x + -15x

Combine like terms: 20x + -15x = 5x
30 + 5x = -12 + 15x + -15x

Combine like terms: 15x + -15x = 0
30 + 5x = -12 + 0
30 + 5x = -12

Add '-30' to each side of the equation.
30 + -30 + 5x = -12 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = -12 + -30
5x = -12 + -30

Combine like terms: -12 + -30 = -42
5x = -42

Divide each side by '5'.
x = -8.4

Simplifying
x = -8.4

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