4x-(9x+6)=3x-46

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Solution for 4x-(9x+6)=3x-46 equation:


Simplifying
4x + -1(9x + 6) = 3x + -46

Reorder the terms:
4x + -1(6 + 9x) = 3x + -46
4x + (6 * -1 + 9x * -1) = 3x + -46
4x + (-6 + -9x) = 3x + -46

Reorder the terms:
-6 + 4x + -9x = 3x + -46

Combine like terms: 4x + -9x = -5x
-6 + -5x = 3x + -46

Reorder the terms:
-6 + -5x = -46 + 3x

Solving
-6 + -5x = -46 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + -5x + -3x = -46 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-6 + -8x = -46 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -8x = -46 + 0
-6 + -8x = -46

Add '6' to each side of the equation.
-6 + 6 + -8x = -46 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -46 + 6
-8x = -46 + 6

Combine like terms: -46 + 6 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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