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

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


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

Reorder the terms:
3(4 + 5x) = 4(2x + -1)
(4 * 3 + 5x * 3) = 4(2x + -1)
(12 + 15x) = 4(2x + -1)

Reorder the terms:
12 + 15x = 4(-1 + 2x)
12 + 15x = (-1 * 4 + 2x * 4)
12 + 15x = (-4 + 8x)

Solving
12 + 15x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
12 + 15x + -8x = -4 + 8x + -8x

Combine like terms: 15x + -8x = 7x
12 + 7x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
12 + 7x = -4 + 0
12 + 7x = -4

Add '-12' to each side of the equation.
12 + -12 + 7x = -4 + -12

Combine like terms: 12 + -12 = 0
0 + 7x = -4 + -12
7x = -4 + -12

Combine like terms: -4 + -12 = -16
7x = -16

Divide each side by '7'.
x = -2.285714286

Simplifying
x = -2.285714286

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