5(2x+3)=7(3x-1)

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Solution for 5(2x+3)=7(3x-1) equation:


Simplifying
5(2x + 3) = 7(3x + -1)

Reorder the terms:
5(3 + 2x) = 7(3x + -1)
(3 * 5 + 2x * 5) = 7(3x + -1)
(15 + 10x) = 7(3x + -1)

Reorder the terms:
15 + 10x = 7(-1 + 3x)
15 + 10x = (-1 * 7 + 3x * 7)
15 + 10x = (-7 + 21x)

Solving
15 + 10x = -7 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
15 + 10x + -21x = -7 + 21x + -21x

Combine like terms: 10x + -21x = -11x
15 + -11x = -7 + 21x + -21x

Combine like terms: 21x + -21x = 0
15 + -11x = -7 + 0
15 + -11x = -7

Add '-15' to each side of the equation.
15 + -15 + -11x = -7 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = -7 + -15
-11x = -7 + -15

Combine like terms: -7 + -15 = -22
-11x = -22

Divide each side by '-11'.
x = 2

Simplifying
x = 2

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