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

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


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

Reorder the terms:
3(6 + 4x) = 2(5x + -10)
(6 * 3 + 4x * 3) = 2(5x + -10)
(18 + 12x) = 2(5x + -10)

Reorder the terms:
18 + 12x = 2(-10 + 5x)
18 + 12x = (-10 * 2 + 5x * 2)
18 + 12x = (-20 + 10x)

Solving
18 + 12x = -20 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
18 + 12x + -10x = -20 + 10x + -10x

Combine like terms: 12x + -10x = 2x
18 + 2x = -20 + 10x + -10x

Combine like terms: 10x + -10x = 0
18 + 2x = -20 + 0
18 + 2x = -20

Add '-18' to each side of the equation.
18 + -18 + 2x = -20 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = -20 + -18
2x = -20 + -18

Combine like terms: -20 + -18 = -38
2x = -38

Divide each side by '2'.
x = -19

Simplifying
x = -19

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