8(x+2)=6(x+3)

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Solution for 8(x+2)=6(x+3) equation:


Simplifying
8(x + 2) = 6(x + 3)

Reorder the terms:
8(2 + x) = 6(x + 3)
(2 * 8 + x * 8) = 6(x + 3)
(16 + 8x) = 6(x + 3)

Reorder the terms:
16 + 8x = 6(3 + x)
16 + 8x = (3 * 6 + x * 6)
16 + 8x = (18 + 6x)

Solving
16 + 8x = 18 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
16 + 8x + -6x = 18 + 6x + -6x

Combine like terms: 8x + -6x = 2x
16 + 2x = 18 + 6x + -6x

Combine like terms: 6x + -6x = 0
16 + 2x = 18 + 0
16 + 2x = 18

Add '-16' to each side of the equation.
16 + -16 + 2x = 18 + -16

Combine like terms: 16 + -16 = 0
0 + 2x = 18 + -16
2x = 18 + -16

Combine like terms: 18 + -16 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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