8(x+1)=7(x+2)

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Solution for 8(x+1)=7(x+2) equation:


Simplifying
8(x + 1) = 7(x + 2)

Reorder the terms:
8(1 + x) = 7(x + 2)
(1 * 8 + x * 8) = 7(x + 2)
(8 + 8x) = 7(x + 2)

Reorder the terms:
8 + 8x = 7(2 + x)
8 + 8x = (2 * 7 + x * 7)
8 + 8x = (14 + 7x)

Solving
8 + 8x = 14 + 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.
8 + 8x + -7x = 14 + 7x + -7x

Combine like terms: 8x + -7x = 1x
8 + 1x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
8 + 1x = 14 + 0
8 + 1x = 14

Add '-8' to each side of the equation.
8 + -8 + 1x = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 14 + -8
1x = 14 + -8

Combine like terms: 14 + -8 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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