6(2x+9)-(5x-2)=-3+4x

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Solution for 6(2x+9)-(5x-2)=-3+4x equation: 


Simplifying
6(2x + 9) + -1(5x + -2) = -3 + 4x

Reorder the terms:
6(9 + 2x) + -1(5x + -2) = -3 + 4x
(9 * 6 + 2x * 6) + -1(5x + -2) = -3 + 4x
(54 + 12x) + -1(5x + -2) = -3 + 4x

Reorder the terms:
54 + 12x + -1(-2 + 5x) = -3 + 4x
54 + 12x + (-2 * -1 + 5x * -1) = -3 + 4x
54 + 12x + (2 + -5x) = -3 + 4x

Reorder the terms:
54 + 2 + 12x + -5x = -3 + 4x

Combine like terms: 54 + 2 = 56
56 + 12x + -5x = -3 + 4x

Combine like terms: 12x + -5x = 7x
56 + 7x = -3 + 4x

Solving
56 + 7x = -3 + 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.
56 + 7x + -4x = -3 + 4x + -4x

Combine like terms: 7x + -4x = 3x
56 + 3x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
56 + 3x = -3 + 0
56 + 3x = -3

Add '-56' to each side of the equation.
56 + -56 + 3x = -3 + -56

Combine like terms: 56 + -56 = 0
0 + 3x = -3 + -56
3x = -3 + -56

Combine like terms: -3 + -56 = -59
3x = -59

Divide each side by '3'.
x = -19.66666667

Simplifying
x = -19.66666667

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