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

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


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

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

Reorder the terms:
-20 + 12x = 3(-6 + 5x)
-20 + 12x = (-6 * 3 + 5x * 3)
-20 + 12x = (-18 + 15x)

Solving
-20 + 12x = -18 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-20 + 12x + -15x = -18 + 15x + -15x

Combine like terms: 12x + -15x = -3x
-20 + -3x = -18 + 15x + -15x

Combine like terms: 15x + -15x = 0
-20 + -3x = -18 + 0
-20 + -3x = -18

Add '20' to each side of the equation.
-20 + 20 + -3x = -18 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = -18 + 20
-3x = -18 + 20

Combine like terms: -18 + 20 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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