(3x+4)-x+6=-5x-2(x+1)+5

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Solution for (3x+4)-x+6=-5x-2(x+1)+5 equation:


Simplifying
(3x + 4) + -1x + 6 = -5x + -2(x + 1) + 5

Reorder the terms:
(4 + 3x) + -1x + 6 = -5x + -2(x + 1) + 5

Remove parenthesis around (4 + 3x)
4 + 3x + -1x + 6 = -5x + -2(x + 1) + 5

Reorder the terms:
4 + 6 + 3x + -1x = -5x + -2(x + 1) + 5

Combine like terms: 4 + 6 = 10
10 + 3x + -1x = -5x + -2(x + 1) + 5

Combine like terms: 3x + -1x = 2x
10 + 2x = -5x + -2(x + 1) + 5

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

Reorder the terms:
10 + 2x = -2 + 5 + -5x + -2x

Combine like terms: -2 + 5 = 3
10 + 2x = 3 + -5x + -2x

Combine like terms: -5x + -2x = -7x
10 + 2x = 3 + -7x

Solving
10 + 2x = 3 + -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.
10 + 2x + 7x = 3 + -7x + 7x

Combine like terms: 2x + 7x = 9x
10 + 9x = 3 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 9x = 3 + 0
10 + 9x = 3

Add '-10' to each side of the equation.
10 + -10 + 9x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + 9x = 3 + -10
9x = 3 + -10

Combine like terms: 3 + -10 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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