3(5x+2)=7(x-3)

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Solution for 3(5x+2)=7(x-3) equation:


Simplifying
3(5x + 2) = 7(x + -3)

Reorder the terms:
3(2 + 5x) = 7(x + -3)
(2 * 3 + 5x * 3) = 7(x + -3)
(6 + 15x) = 7(x + -3)

Reorder the terms:
6 + 15x = 7(-3 + x)
6 + 15x = (-3 * 7 + x * 7)
6 + 15x = (-21 + 7x)

Solving
6 + 15x = -21 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 15x + -7x = -21 + 7x + -7x

Combine like terms: 15x + -7x = 8x
6 + 8x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 8x = -21 + 0
6 + 8x = -21

Add '-6' to each side of the equation.
6 + -6 + 8x = -21 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = -21 + -6
8x = -21 + -6

Combine like terms: -21 + -6 = -27
8x = -27

Divide each side by '8'.
x = -3.375

Simplifying
x = -3.375

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