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

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


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

Reorder the terms:
4 + -3(-5 + x) = 9x + 6
4 + (-5 * -3 + x * -3) = 9x + 6
4 + (15 + -3x) = 9x + 6

Combine like terms: 4 + 15 = 19
19 + -3x = 9x + 6

Reorder the terms:
19 + -3x = 6 + 9x

Solving
19 + -3x = 6 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
19 + -3x + -9x = 6 + 9x + -9x

Combine like terms: -3x + -9x = -12x
19 + -12x = 6 + 9x + -9x

Combine like terms: 9x + -9x = 0
19 + -12x = 6 + 0
19 + -12x = 6

Add '-19' to each side of the equation.
19 + -19 + -12x = 6 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = 6 + -19
-12x = 6 + -19

Combine like terms: 6 + -19 = -13
-12x = -13

Divide each side by '-12'.
x = 1.083333333

Simplifying
x = 1.083333333

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