6(2x-3)=5(x+2)

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Solution for 6(2x-3)=5(x+2) equation:


Simplifying
6(2x + -3) = 5(x + 2)

Reorder the terms:
6(-3 + 2x) = 5(x + 2)
(-3 * 6 + 2x * 6) = 5(x + 2)
(-18 + 12x) = 5(x + 2)

Reorder the terms:
-18 + 12x = 5(2 + x)
-18 + 12x = (2 * 5 + x * 5)
-18 + 12x = (10 + 5x)

Solving
-18 + 12x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-18 + 12x + -5x = 10 + 5x + -5x

Combine like terms: 12x + -5x = 7x
-18 + 7x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
-18 + 7x = 10 + 0
-18 + 7x = 10

Add '18' to each side of the equation.
-18 + 18 + 7x = 10 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = 10 + 18
7x = 10 + 18

Combine like terms: 10 + 18 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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