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

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


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

Reorder the terms:
5(2 + 3x) = 2(6x + 2)
(2 * 5 + 3x * 5) = 2(6x + 2)
(10 + 15x) = 2(6x + 2)

Reorder the terms:
10 + 15x = 2(2 + 6x)
10 + 15x = (2 * 2 + 6x * 2)
10 + 15x = (4 + 12x)

Solving
10 + 15x = 4 + 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.
10 + 15x + -12x = 4 + 12x + -12x

Combine like terms: 15x + -12x = 3x
10 + 3x = 4 + 12x + -12x

Combine like terms: 12x + -12x = 0
10 + 3x = 4 + 0
10 + 3x = 4

Add '-10' to each side of the equation.
10 + -10 + 3x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 4 + -10
3x = 4 + -10

Combine like terms: 4 + -10 = -6
3x = -6

Divide each side by '3'.
x = -2

Simplifying
x = -2

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