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

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


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

Reorder the terms:
7(-1 + 3x) = 5(2x + 3)
(-1 * 7 + 3x * 7) = 5(2x + 3)
(-7 + 21x) = 5(2x + 3)

Reorder the terms:
-7 + 21x = 5(3 + 2x)
-7 + 21x = (3 * 5 + 2x * 5)
-7 + 21x = (15 + 10x)

Solving
-7 + 21x = 15 + 10x

Solving for variable 'x'.

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

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

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

Combine like terms: 10x + -10x = 0
-7 + 11x = 15 + 0
-7 + 11x = 15

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

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

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

Divide each side by '11'.
x = 2

Simplifying
x = 2

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