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

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


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

Reorder the terms:
4(3 + 2x) = 6(x + 3)
(3 * 4 + 2x * 4) = 6(x + 3)
(12 + 8x) = 6(x + 3)

Reorder the terms:
12 + 8x = 6(3 + x)
12 + 8x = (3 * 6 + x * 6)
12 + 8x = (18 + 6x)

Solving
12 + 8x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
12 + 8x + -6x = 18 + 6x + -6x

Combine like terms: 8x + -6x = 2x
12 + 2x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
12 + 2x = 18 + 0
12 + 2x = 18

Add '-12' to each side of the equation.
12 + -12 + 2x = 18 + -12

Combine like terms: 12 + -12 = 0
0 + 2x = 18 + -12
2x = 18 + -12

Combine like terms: 18 + -12 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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