6(3x+4)=7(x+3)+2

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Solution for 6(3x+4)=7(x+3)+2 equation:


Simplifying
6(3x + 4) = 7(x + 3) + 2

Reorder the terms:
6(4 + 3x) = 7(x + 3) + 2
(4 * 6 + 3x * 6) = 7(x + 3) + 2
(24 + 18x) = 7(x + 3) + 2

Reorder the terms:
24 + 18x = 7(3 + x) + 2
24 + 18x = (3 * 7 + x * 7) + 2
24 + 18x = (21 + 7x) + 2

Reorder the terms:
24 + 18x = 21 + 2 + 7x

Combine like terms: 21 + 2 = 23
24 + 18x = 23 + 7x

Solving
24 + 18x = 23 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
24 + 18x + -7x = 23 + 7x + -7x

Combine like terms: 18x + -7x = 11x
24 + 11x = 23 + 7x + -7x

Combine like terms: 7x + -7x = 0
24 + 11x = 23 + 0
24 + 11x = 23

Add '-24' to each side of the equation.
24 + -24 + 11x = 23 + -24

Combine like terms: 24 + -24 = 0
0 + 11x = 23 + -24
11x = 23 + -24

Combine like terms: 23 + -24 = -1
11x = -1

Divide each side by '11'.
x = -0.09090909091

Simplifying
x = -0.09090909091

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