9-(5+3x)+5x=-4(x-3)-7

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Solution for 9-(5+3x)+5x=-4(x-3)-7 equation:


Simplifying
9 + -1(5 + 3x) + 5x = -4(x + -3) + -7
9 + (5 * -1 + 3x * -1) + 5x = -4(x + -3) + -7
9 + (-5 + -3x) + 5x = -4(x + -3) + -7

Combine like terms: 9 + -5 = 4
4 + -3x + 5x = -4(x + -3) + -7

Combine like terms: -3x + 5x = 2x
4 + 2x = -4(x + -3) + -7

Reorder the terms:
4 + 2x = -4(-3 + x) + -7
4 + 2x = (-3 * -4 + x * -4) + -7
4 + 2x = (12 + -4x) + -7

Reorder the terms:
4 + 2x = 12 + -7 + -4x

Combine like terms: 12 + -7 = 5
4 + 2x = 5 + -4x

Solving
4 + 2x = 5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
4 + 2x + 4x = 5 + -4x + 4x

Combine like terms: 2x + 4x = 6x
4 + 6x = 5 + -4x + 4x

Combine like terms: -4x + 4x = 0
4 + 6x = 5 + 0
4 + 6x = 5

Add '-4' to each side of the equation.
4 + -4 + 6x = 5 + -4

Combine like terms: 4 + -4 = 0
0 + 6x = 5 + -4
6x = 5 + -4

Combine like terms: 5 + -4 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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