1-2(4x+6)=1-3(9x-24)

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Solution for 1-2(4x+6)=1-3(9x-24) equation:


Simplifying
1 + -2(4x + 6) = 1 + -3(9x + -24)

Reorder the terms:
1 + -2(6 + 4x) = 1 + -3(9x + -24)
1 + (6 * -2 + 4x * -2) = 1 + -3(9x + -24)
1 + (-12 + -8x) = 1 + -3(9x + -24)

Combine like terms: 1 + -12 = -11
-11 + -8x = 1 + -3(9x + -24)

Reorder the terms:
-11 + -8x = 1 + -3(-24 + 9x)
-11 + -8x = 1 + (-24 * -3 + 9x * -3)
-11 + -8x = 1 + (72 + -27x)

Combine like terms: 1 + 72 = 73
-11 + -8x = 73 + -27x

Solving
-11 + -8x = 73 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
-11 + -8x + 27x = 73 + -27x + 27x

Combine like terms: -8x + 27x = 19x
-11 + 19x = 73 + -27x + 27x

Combine like terms: -27x + 27x = 0
-11 + 19x = 73 + 0
-11 + 19x = 73

Add '11' to each side of the equation.
-11 + 11 + 19x = 73 + 11

Combine like terms: -11 + 11 = 0
0 + 19x = 73 + 11
19x = 73 + 11

Combine like terms: 73 + 11 = 84
19x = 84

Divide each side by '19'.
x = 4.421052632

Simplifying
x = 4.421052632

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