4(5x+3)=6(2x-10)

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Solution for 4(5x+3)=6(2x-10) equation:


Simplifying
4(5x + 3) = 6(2x + -10)

Reorder the terms:
4(3 + 5x) = 6(2x + -10)
(3 * 4 + 5x * 4) = 6(2x + -10)
(12 + 20x) = 6(2x + -10)

Reorder the terms:
12 + 20x = 6(-10 + 2x)
12 + 20x = (-10 * 6 + 2x * 6)
12 + 20x = (-60 + 12x)

Solving
12 + 20x = -60 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
12 + 20x + -12x = -60 + 12x + -12x

Combine like terms: 20x + -12x = 8x
12 + 8x = -60 + 12x + -12x

Combine like terms: 12x + -12x = 0
12 + 8x = -60 + 0
12 + 8x = -60

Add '-12' to each side of the equation.
12 + -12 + 8x = -60 + -12

Combine like terms: 12 + -12 = 0
0 + 8x = -60 + -12
8x = -60 + -12

Combine like terms: -60 + -12 = -72
8x = -72

Divide each side by '8'.
x = -9

Simplifying
x = -9

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