8(x+3)+7(x+2)=x+6(x+1)

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Solution for 8(x+3)+7(x+2)=x+6(x+1) equation:


Simplifying
8(x + 3) + 7(x + 2) = x + 6(x + 1)

Reorder the terms:
8(3 + x) + 7(x + 2) = x + 6(x + 1)
(3 * 8 + x * 8) + 7(x + 2) = x + 6(x + 1)
(24 + 8x) + 7(x + 2) = x + 6(x + 1)

Reorder the terms:
24 + 8x + 7(2 + x) = x + 6(x + 1)
24 + 8x + (2 * 7 + x * 7) = x + 6(x + 1)
24 + 8x + (14 + 7x) = x + 6(x + 1)

Reorder the terms:
24 + 14 + 8x + 7x = x + 6(x + 1)

Combine like terms: 24 + 14 = 38
38 + 8x + 7x = x + 6(x + 1)

Combine like terms: 8x + 7x = 15x
38 + 15x = x + 6(x + 1)

Reorder the terms:
38 + 15x = x + 6(1 + x)
38 + 15x = x + (1 * 6 + x * 6)
38 + 15x = x + (6 + 6x)

Reorder the terms:
38 + 15x = 6 + x + 6x

Combine like terms: x + 6x = 7x
38 + 15x = 6 + 7x

Solving
38 + 15x = 6 + 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.
38 + 15x + -7x = 6 + 7x + -7x

Combine like terms: 15x + -7x = 8x
38 + 8x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
38 + 8x = 6 + 0
38 + 8x = 6

Add '-38' to each side of the equation.
38 + -38 + 8x = 6 + -38

Combine like terms: 38 + -38 = 0
0 + 8x = 6 + -38
8x = 6 + -38

Combine like terms: 6 + -38 = -32
8x = -32

Divide each side by '8'.
x = -4

Simplifying
x = -4

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