7(x+1)+4=-9(x-1)-5

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Solution for 7(x+1)+4=-9(x-1)-5 equation:


Simplifying
7(x + 1) + 4 = -9(x + -1) + -5

Reorder the terms:
7(1 + x) + 4 = -9(x + -1) + -5
(1 * 7 + x * 7) + 4 = -9(x + -1) + -5
(7 + 7x) + 4 = -9(x + -1) + -5

Reorder the terms:
7 + 4 + 7x = -9(x + -1) + -5

Combine like terms: 7 + 4 = 11
11 + 7x = -9(x + -1) + -5

Reorder the terms:
11 + 7x = -9(-1 + x) + -5
11 + 7x = (-1 * -9 + x * -9) + -5
11 + 7x = (9 + -9x) + -5

Reorder the terms:
11 + 7x = 9 + -5 + -9x

Combine like terms: 9 + -5 = 4
11 + 7x = 4 + -9x

Solving
11 + 7x = 4 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
11 + 7x + 9x = 4 + -9x + 9x

Combine like terms: 7x + 9x = 16x
11 + 16x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
11 + 16x = 4 + 0
11 + 16x = 4

Add '-11' to each side of the equation.
11 + -11 + 16x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + 16x = 4 + -11
16x = 4 + -11

Combine like terms: 4 + -11 = -7
16x = -7

Divide each side by '16'.
x = -0.4375

Simplifying
x = -0.4375

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