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

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


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

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

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

Combine like terms: 5 + 8 = 13
-7 + 6x = 13 + 8x

Solving
-7 + 6x = 13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-7 + 6x + -8x = 13 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-7 + -2x = 13 + 8x + -8x

Combine like terms: 8x + -8x = 0
-7 + -2x = 13 + 0
-7 + -2x = 13

Add '7' to each side of the equation.
-7 + 7 + -2x = 13 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 13 + 7
-2x = 13 + 7

Combine like terms: 13 + 7 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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