5[1-2(2x-1)]=-3(3x-1)+1

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Solution for 5[1-2(2x-1)]=-3(3x-1)+1 equation:


Simplifying
5[1 + -2(2x + -1)] = -3(3x + -1) + 1

Reorder the terms:
5[1 + -2(-1 + 2x)] = -3(3x + -1) + 1
5[1 + (-1 * -2 + 2x * -2)] = -3(3x + -1) + 1
5[1 + (2 + -4x)] = -3(3x + -1) + 1

Combine like terms: 1 + 2 = 3
5[3 + -4x] = -3(3x + -1) + 1
[3 * 5 + -4x * 5] = -3(3x + -1) + 1
[15 + -20x] = -3(3x + -1) + 1

Reorder the terms:
15 + -20x = -3(-1 + 3x) + 1
15 + -20x = (-1 * -3 + 3x * -3) + 1
15 + -20x = (3 + -9x) + 1

Reorder the terms:
15 + -20x = 3 + 1 + -9x

Combine like terms: 3 + 1 = 4
15 + -20x = 4 + -9x

Solving
15 + -20x = 4 + -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.
15 + -20x + 9x = 4 + -9x + 9x

Combine like terms: -20x + 9x = -11x
15 + -11x = 4 + -9x + 9x

Combine like terms: -9x + 9x = 0
15 + -11x = 4 + 0
15 + -11x = 4

Add '-15' to each side of the equation.
15 + -15 + -11x = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = 4 + -15
-11x = 4 + -15

Combine like terms: 4 + -15 = -11
-11x = -11

Divide each side by '-11'.
x = 1

Simplifying
x = 1

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