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

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


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

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

Reorder the terms:
3 + 15x = 4(-3 + 2x)
3 + 15x = (-3 * 4 + 2x * 4)
3 + 15x = (-12 + 8x)

Solving
3 + 15x = -12 + 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.
3 + 15x + -8x = -12 + 8x + -8x

Combine like terms: 15x + -8x = 7x
3 + 7x = -12 + 8x + -8x

Combine like terms: 8x + -8x = 0
3 + 7x = -12 + 0
3 + 7x = -12

Add '-3' to each side of the equation.
3 + -3 + 7x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = -12 + -3
7x = -12 + -3

Combine like terms: -12 + -3 = -15
7x = -15

Divide each side by '7'.
x = -2.142857143

Simplifying
x = -2.142857143

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