6(x+1)-2(x+5)=9x-7(x-1)

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Solution for 6(x+1)-2(x+5)=9x-7(x-1) equation:


Simplifying
6(x + 1) + -2(x + 5) = 9x + -7(x + -1)

Reorder the terms:
6(1 + x) + -2(x + 5) = 9x + -7(x + -1)
(1 * 6 + x * 6) + -2(x + 5) = 9x + -7(x + -1)
(6 + 6x) + -2(x + 5) = 9x + -7(x + -1)

Reorder the terms:
6 + 6x + -2(5 + x) = 9x + -7(x + -1)
6 + 6x + (5 * -2 + x * -2) = 9x + -7(x + -1)
6 + 6x + (-10 + -2x) = 9x + -7(x + -1)

Reorder the terms:
6 + -10 + 6x + -2x = 9x + -7(x + -1)

Combine like terms: 6 + -10 = -4
-4 + 6x + -2x = 9x + -7(x + -1)

Combine like terms: 6x + -2x = 4x
-4 + 4x = 9x + -7(x + -1)

Reorder the terms:
-4 + 4x = 9x + -7(-1 + x)
-4 + 4x = 9x + (-1 * -7 + x * -7)
-4 + 4x = 9x + (7 + -7x)

Reorder the terms:
-4 + 4x = 7 + 9x + -7x

Combine like terms: 9x + -7x = 2x
-4 + 4x = 7 + 2x

Solving
-4 + 4x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-4 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-4 + 2x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 2x = 7 + 0
-4 + 2x = 7

Add '4' to each side of the equation.
-4 + 4 + 2x = 7 + 4

Combine like terms: -4 + 4 = 0
0 + 2x = 7 + 4
2x = 7 + 4

Combine like terms: 7 + 4 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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