9(x+1)+2=-2(x-3)-10

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Solution for 9(x+1)+2=-2(x-3)-10 equation:


Simplifying
9(x + 1) + 2 = -2(x + -3) + -10

Reorder the terms:
9(1 + x) + 2 = -2(x + -3) + -10
(1 * 9 + x * 9) + 2 = -2(x + -3) + -10
(9 + 9x) + 2 = -2(x + -3) + -10

Reorder the terms:
9 + 2 + 9x = -2(x + -3) + -10

Combine like terms: 9 + 2 = 11
11 + 9x = -2(x + -3) + -10

Reorder the terms:
11 + 9x = -2(-3 + x) + -10
11 + 9x = (-3 * -2 + x * -2) + -10
11 + 9x = (6 + -2x) + -10

Reorder the terms:
11 + 9x = 6 + -10 + -2x

Combine like terms: 6 + -10 = -4
11 + 9x = -4 + -2x

Solving
11 + 9x = -4 + -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.
11 + 9x + 2x = -4 + -2x + 2x

Combine like terms: 9x + 2x = 11x
11 + 11x = -4 + -2x + 2x

Combine like terms: -2x + 2x = 0
11 + 11x = -4 + 0
11 + 11x = -4

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

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

Combine like terms: -4 + -11 = -15
11x = -15

Divide each side by '11'.
x = -1.363636364

Simplifying
x = -1.363636364

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