5(2x+1)=6(X+2)-3

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Solution for 5(2x+1)=6(X+2)-3 equation:


Simplifying
5(2x + 1) = 6(X + 2) + -3

Reorder the terms:
5(1 + 2x) = 6(X + 2) + -3
(1 * 5 + 2x * 5) = 6(X + 2) + -3
(5 + 10x) = 6(X + 2) + -3

Reorder the terms:
5 + 10x = 6(2 + X) + -3
5 + 10x = (2 * 6 + X * 6) + -3
5 + 10x = (12 + 6X) + -3

Reorder the terms:
5 + 10x = 12 + -3 + 6X

Combine like terms: 12 + -3 = 9
5 + 10x = 9 + 6X

Solving
5 + 10x = 9 + 6X

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 10x = 9 + -5 + 6X

Combine like terms: 5 + -5 = 0
0 + 10x = 9 + -5 + 6X
10x = 9 + -5 + 6X

Combine like terms: 9 + -5 = 4
10x = 4 + 6X

Divide each side by '10'.
x = 0.4 + 0.6X

Simplifying
x = 0.4 + 0.6X

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