6(3x-1)=4(5x+3)

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Solution for 6(3x-1)=4(5x+3) equation:


Simplifying
6(3x + -1) = 4(5x + 3)

Reorder the terms:
6(-1 + 3x) = 4(5x + 3)
(-1 * 6 + 3x * 6) = 4(5x + 3)
(-6 + 18x) = 4(5x + 3)

Reorder the terms:
-6 + 18x = 4(3 + 5x)
-6 + 18x = (3 * 4 + 5x * 4)
-6 + 18x = (12 + 20x)

Solving
-6 + 18x = 12 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-6 + 18x + -20x = 12 + 20x + -20x

Combine like terms: 18x + -20x = -2x
-6 + -2x = 12 + 20x + -20x

Combine like terms: 20x + -20x = 0
-6 + -2x = 12 + 0
-6 + -2x = 12

Add '6' to each side of the equation.
-6 + 6 + -2x = 12 + 6

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

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

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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