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

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


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

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

Reorder the terms:
-5 + 15x = 4(4 + 5x)
-5 + 15x = (4 * 4 + 5x * 4)
-5 + 15x = (16 + 20x)

Solving
-5 + 15x = 16 + 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.
-5 + 15x + -20x = 16 + 20x + -20x

Combine like terms: 15x + -20x = -5x
-5 + -5x = 16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-5 + -5x = 16 + 0
-5 + -5x = 16

Add '5' to each side of the equation.
-5 + 5 + -5x = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -5x = 16 + 5
-5x = 16 + 5

Combine like terms: 16 + 5 = 21
-5x = 21

Divide each side by '-5'.
x = -4.2

Simplifying
x = -4.2

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