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

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Solution for 1-3(6-4x)=-2(6x-9)+1 equation:


Simplifying
1 + -3(6 + -4x) = -2(6x + -9) + 1
1 + (6 * -3 + -4x * -3) = -2(6x + -9) + 1
1 + (-18 + 12x) = -2(6x + -9) + 1

Combine like terms: 1 + -18 = -17
-17 + 12x = -2(6x + -9) + 1

Reorder the terms:
-17 + 12x = -2(-9 + 6x) + 1
-17 + 12x = (-9 * -2 + 6x * -2) + 1
-17 + 12x = (18 + -12x) + 1

Reorder the terms:
-17 + 12x = 18 + 1 + -12x

Combine like terms: 18 + 1 = 19
-17 + 12x = 19 + -12x

Solving
-17 + 12x = 19 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
-17 + 12x + 12x = 19 + -12x + 12x

Combine like terms: 12x + 12x = 24x
-17 + 24x = 19 + -12x + 12x

Combine like terms: -12x + 12x = 0
-17 + 24x = 19 + 0
-17 + 24x = 19

Add '17' to each side of the equation.
-17 + 17 + 24x = 19 + 17

Combine like terms: -17 + 17 = 0
0 + 24x = 19 + 17
24x = 19 + 17

Combine like terms: 19 + 17 = 36
24x = 36

Divide each side by '24'.
x = 1.5

Simplifying
x = 1.5

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