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

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


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

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

Reorder the terms:
-12 + 20x = 6(-5 + 3x)
-12 + 20x = (-5 * 6 + 3x * 6)
-12 + 20x = (-30 + 18x)

Solving
-12 + 20x = -30 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-12 + 20x + -18x = -30 + 18x + -18x

Combine like terms: 20x + -18x = 2x
-12 + 2x = -30 + 18x + -18x

Combine like terms: 18x + -18x = 0
-12 + 2x = -30 + 0
-12 + 2x = -30

Add '12' to each side of the equation.
-12 + 12 + 2x = -30 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -30 + 12
2x = -30 + 12

Combine like terms: -30 + 12 = -18
2x = -18

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

Simplifying
x = -9

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