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

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


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

Reorder the terms:
4 + -9(-4 + 3x) = -1(6x + -4) + 3
4 + (-4 * -9 + 3x * -9) = -1(6x + -4) + 3
4 + (36 + -27x) = -1(6x + -4) + 3

Combine like terms: 4 + 36 = 40
40 + -27x = -1(6x + -4) + 3

Reorder the terms:
40 + -27x = -1(-4 + 6x) + 3
40 + -27x = (-4 * -1 + 6x * -1) + 3
40 + -27x = (4 + -6x) + 3

Reorder the terms:
40 + -27x = 4 + 3 + -6x

Combine like terms: 4 + 3 = 7
40 + -27x = 7 + -6x

Solving
40 + -27x = 7 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
40 + -27x + 6x = 7 + -6x + 6x

Combine like terms: -27x + 6x = -21x
40 + -21x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + -21x = 7 + 0
40 + -21x = 7

Add '-40' to each side of the equation.
40 + -40 + -21x = 7 + -40

Combine like terms: 40 + -40 = 0
0 + -21x = 7 + -40
-21x = 7 + -40

Combine like terms: 7 + -40 = -33
-21x = -33

Divide each side by '-21'.
x = 1.571428571

Simplifying
x = 1.571428571

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