6(2x-1)=4(x+3)

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Solution for 6(2x-1)=4(x+3) equation:


Simplifying
6(2x + -1) = 4(x + 3)

Reorder the terms:
6(-1 + 2x) = 4(x + 3)
(-1 * 6 + 2x * 6) = 4(x + 3)
(-6 + 12x) = 4(x + 3)

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

Solving
-6 + 12x = 12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6 + 12x + -4x = 12 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-6 + 8x = 12 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + 8x = 12 + 0
-6 + 8x = 12

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

Combine like terms: -6 + 6 = 0
0 + 8x = 12 + 6
8x = 12 + 6

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

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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