5(4x-3)=6(2x-5)

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Solution for 5(4x-3)=6(2x-5) equation:


Simplifying
5(4x + -3) = 6(2x + -5)

Reorder the terms:
5(-3 + 4x) = 6(2x + -5)
(-3 * 5 + 4x * 5) = 6(2x + -5)
(-15 + 20x) = 6(2x + -5)

Reorder the terms:
-15 + 20x = 6(-5 + 2x)
-15 + 20x = (-5 * 6 + 2x * 6)
-15 + 20x = (-30 + 12x)

Solving
-15 + 20x = -30 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-15 + 20x + -12x = -30 + 12x + -12x

Combine like terms: 20x + -12x = 8x
-15 + 8x = -30 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + 8x = -30 + 0
-15 + 8x = -30

Add '15' to each side of the equation.
-15 + 15 + 8x = -30 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = -30 + 15
8x = -30 + 15

Combine like terms: -30 + 15 = -15
8x = -15

Divide each side by '8'.
x = -1.875

Simplifying
x = -1.875

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