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

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


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

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

Reorder the terms:
9 + 5x + -3x = -6 + 4x + -1

Combine like terms: 5x + -3x = 2x
9 + 2x = -6 + 4x + -1

Reorder the terms:
9 + 2x = -6 + -1 + 4x

Combine like terms: -6 + -1 = -7
9 + 2x = -7 + 4x

Solving
9 + 2x = -7 + 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.
9 + 2x + -4x = -7 + 4x + -4x

Combine like terms: 2x + -4x = -2x
9 + -2x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -2x = -7 + 0
9 + -2x = -7

Add '-9' to each side of the equation.
9 + -9 + -2x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -7 + -9
-2x = -7 + -9

Combine like terms: -7 + -9 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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