9(x+1)+8(x+1)=7x-7

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Solution for 9(x+1)+8(x+1)=7x-7 equation: 


Simplifying
9(x + 1) + 8(x + 1) = 7x + -7

Reorder the terms:
9(1 + x) + 8(x + 1) = 7x + -7
(1 * 9 + x * 9) + 8(x + 1) = 7x + -7
(9 + 9x) + 8(x + 1) = 7x + -7

Reorder the terms:
9 + 9x + 8(1 + x) = 7x + -7
9 + 9x + (1 * 8 + x * 8) = 7x + -7
9 + 9x + (8 + 8x) = 7x + -7

Reorder the terms:
9 + 8 + 9x + 8x = 7x + -7

Combine like terms: 9 + 8 = 17
17 + 9x + 8x = 7x + -7

Combine like terms: 9x + 8x = 17x
17 + 17x = 7x + -7

Reorder the terms:
17 + 17x = -7 + 7x

Solving
17 + 17x = -7 + 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.
17 + 17x + -7x = -7 + 7x + -7x

Combine like terms: 17x + -7x = 10x
17 + 10x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
17 + 10x = -7 + 0
17 + 10x = -7

Add '-17' to each side of the equation.
17 + -17 + 10x = -7 + -17

Combine like terms: 17 + -17 = 0
0 + 10x = -7 + -17
10x = -7 + -17

Combine like terms: -7 + -17 = -24
10x = -24

Divide each side by '10'.
x = -2.4

Simplifying
x = -2.4

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