6(x+1)-7=5(x+8)

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Solution for 6(x+1)-7=5(x+8) equation:


Simplifying
6(x + 1) + -7 = 5(x + 8)

Reorder the terms:
6(1 + x) + -7 = 5(x + 8)
(1 * 6 + x * 6) + -7 = 5(x + 8)
(6 + 6x) + -7 = 5(x + 8)

Reorder the terms:
6 + -7 + 6x = 5(x + 8)

Combine like terms: 6 + -7 = -1
-1 + 6x = 5(x + 8)

Reorder the terms:
-1 + 6x = 5(8 + x)
-1 + 6x = (8 * 5 + x * 5)
-1 + 6x = (40 + 5x)

Solving
-1 + 6x = 40 + 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.
-1 + 6x + -5x = 40 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-1 + 1x = 40 + 5x + -5x

Combine like terms: 5x + -5x = 0
-1 + 1x = 40 + 0
-1 + 1x = 40

Add '1' to each side of the equation.
-1 + 1 + 1x = 40 + 1

Combine like terms: -1 + 1 = 0
0 + 1x = 40 + 1
1x = 40 + 1

Combine like terms: 40 + 1 = 41
1x = 41

Divide each side by '1'.
x = 41

Simplifying
x = 41

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