1-(3x-19)=4(2x-1)-9

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Solution for 1-(3x-19)=4(2x-1)-9 equation:


Simplifying
1 + -1(3x + -19) = 4(2x + -1) + -9

Reorder the terms:
1 + -1(-19 + 3x) = 4(2x + -1) + -9
1 + (-19 * -1 + 3x * -1) = 4(2x + -1) + -9
1 + (19 + -3x) = 4(2x + -1) + -9

Combine like terms: 1 + 19 = 20
20 + -3x = 4(2x + -1) + -9

Reorder the terms:
20 + -3x = 4(-1 + 2x) + -9
20 + -3x = (-1 * 4 + 2x * 4) + -9
20 + -3x = (-4 + 8x) + -9

Reorder the terms:
20 + -3x = -4 + -9 + 8x

Combine like terms: -4 + -9 = -13
20 + -3x = -13 + 8x

Solving
20 + -3x = -13 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + -3x + -8x = -13 + 8x + -8x

Combine like terms: -3x + -8x = -11x
20 + -11x = -13 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -11x = -13 + 0
20 + -11x = -13

Add '-20' to each side of the equation.
20 + -20 + -11x = -13 + -20

Combine like terms: 20 + -20 = 0
0 + -11x = -13 + -20
-11x = -13 + -20

Combine like terms: -13 + -20 = -33
-11x = -33

Divide each side by '-11'.
x = 3

Simplifying
x = 3

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