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

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


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

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

Reorder the terms:
10 + 15x = 7(3 + 2x)
10 + 15x = (3 * 7 + 2x * 7)
10 + 15x = (21 + 14x)

Solving
10 + 15x = 21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
10 + 15x + -14x = 21 + 14x + -14x

Combine like terms: 15x + -14x = 1x
10 + 1x = 21 + 14x + -14x

Combine like terms: 14x + -14x = 0
10 + 1x = 21 + 0
10 + 1x = 21

Add '-10' to each side of the equation.
10 + -10 + 1x = 21 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 21 + -10
1x = 21 + -10

Combine like terms: 21 + -10 = 11
1x = 11

Divide each side by '1'.
x = 11

Simplifying
x = 11

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