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

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


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

Reorder the terms:
6(-1 + 3x) = 4(4x + 2)
(-1 * 6 + 3x * 6) = 4(4x + 2)
(-6 + 18x) = 4(4x + 2)

Reorder the terms:
-6 + 18x = 4(2 + 4x)
-6 + 18x = (2 * 4 + 4x * 4)
-6 + 18x = (8 + 16x)

Solving
-6 + 18x = 8 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-6 + 18x + -16x = 8 + 16x + -16x

Combine like terms: 18x + -16x = 2x
-6 + 2x = 8 + 16x + -16x

Combine like terms: 16x + -16x = 0
-6 + 2x = 8 + 0
-6 + 2x = 8

Add '6' to each side of the equation.
-6 + 6 + 2x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = 8 + 6
2x = 8 + 6

Combine like terms: 8 + 6 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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