5(3x-1)=4(x-2)

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Solution for 5(3x-1)=4(x-2) equation:


Simplifying
5(3x + -1) = 4(x + -2)

Reorder the terms:
5(-1 + 3x) = 4(x + -2)
(-1 * 5 + 3x * 5) = 4(x + -2)
(-5 + 15x) = 4(x + -2)

Reorder the terms:
-5 + 15x = 4(-2 + x)
-5 + 15x = (-2 * 4 + x * 4)
-5 + 15x = (-8 + 4x)

Solving
-5 + 15x = -8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-5 + 15x + -4x = -8 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-5 + 11x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 11x = -8 + 0
-5 + 11x = -8

Add '5' to each side of the equation.
-5 + 5 + 11x = -8 + 5

Combine like terms: -5 + 5 = 0
0 + 11x = -8 + 5
11x = -8 + 5

Combine like terms: -8 + 5 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727

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